If you are going to make repairs, the first thing you need to do is plan the budget for repairs, and for this, in turn, you need to know how much building and finishing materials will be needed, provided, of course, that you have already decided on the design project and you know exactly where the tiles will be installed, which walls will be “painted” or textured plaster, and where the built-in wardrobe will be located.
Interested in the cost of services for repair work, you will pay attention to the fact that all prices are usually "tied" to square meters. Actually, the apartment renovation budget is directly related to the area of \u200b\u200byour square meters. So we come to the main question of our article - how to calculate square meters?
Take a good look at your room. The room consists of walls, floor and ceiling, it also has windows and doors. So you will need to calculate the area of all surfaces that will be subject to repair work, taking into account all additional components, which are windows and doors.
Each of the walls, as well as the ceiling and floor, is either a square or a rectangle. Walls have width and height, floor and ceiling have length and width measured in meters. How to calculate square meter?
So, the area of a rectangular or square surface is calculated by the formula:
S= a x b, where
a and b - sides of the rectangle (walls, ceiling, floor).
Suppose your room is 6 meters long and 4 meters wide, then:
- the floor area of the room will be 24 square meters:
Now let's calculate the area of the rooms along the walls. Suppose you have a ceiling height of 3 meters, then:
- the area of the room along one wall will be equal to 18 square meters
- the area of the room on the other wall will be equal to 12 square meters
- the area of four walls is 60 square meters
S = (18+12) x 2
How to count square meters, you already know. But for repairs and accurate calculation of the area, for example, plastering, you need to calculate from the total area of \u200b\u200bthe walls the areas that are occupied by windows and doors. After all, they do not need to be plastered or putty.
Similarly, you calculate the area of the rectangle occupied by windows and doors. Suppose the door is 2 meters high and 0.90 meters wide, then:
- door leaf area is 1.8 square meters
We consider the area occupied by the window opening. If the height of the window is, say, 1.5 meters, and the width is 1.6 meters, then:
- the window area in our example is 2.4 square meters
If the room has one door and one window, then from the total area of the walls it is necessary to subtract the area occupied by windows and doors:
S = 60 - 1.8 - 2.4
So, the total wall area is 55.8 square meters, the floor and ceiling area is 24 square meters each.
Expert comment
Igor Voropaev - leading lawyer of "Prosper-Consulting"
PropertyExperts Portal Consultant
I have been working for a construction company for several years and go out to measure the dimensions of the premises almost daily. Before starting work, everyone who plans to use the services of our company must call a specialist and measure the geometric perimeter, determine the shape of the room (maybe even a triangle), the number of simple and complex shapes (protrusions, niches), and also determine the values of other quantities in cubic and running meters.
If this is an exterior finish, the roof and the entire structure are also measured. A student also arrives and performs the calculations (it may take several minutes, because it is necessary to multiply the measurements). Having translated the indicators and units, he will present a quick final result with the presence of the correct dimensions, according to which the cost of various works will be calculated (the number of rolls of paper, lining, coatings in the bathroom, putty weight).
Based on these data, the total cost of the work will be set. We do not charge for these works if the repair is ordered from us. It is in this case that it is excluded that there will be problems with materials or the amount of work, which is convenient for everyone.
The procedure for carrying out repairs in the room requires a mandatory calculation of the area of \u200b\u200bthe walls, ceiling and floor. Since during the purchase of building materials, these values \u200b\u200bhelp not to be mistaken in their quantity. We will talk about methods and examples of calculating the area of \u200b\u200bthe room further.
Reasons for calculating the area of \u200b\u200bthe room
There are a large number of reasons why the area of \u200b\u200bthe walls, ceiling or floor in a room is determined. In some cases, data on the total area of the room is required. We suggest that you familiarize yourself with the most common reasons for determining the area of \u200b\u200ba room or its individual parts:
- if work is planned to install suspended ceilings, then it is necessary to determine the total area of \u200b\u200bthe ceiling to determine the amount of materials used in the work;
- when installing stretch ceilings, you also need to calculate the total area of \u200b\u200bthe ceiling in order to pre-plan material resources;
- for painting or finishing the ceiling, you should also know its area, almost all paint and varnish products and primers have a consumption rate per square meter in their technical specifications;
- finishing walls with drywall requires calculating the total area of \u200b\u200bthe walls to purchase the right amount of material;
- when hiring builders, for example, to finish the floor with tiles, each square meter has a certain cost, which is calculated at the end of the work;
- when selling a house or when decorating it, such a parameter as a living area, the area of \u200b\u200bthe kitchen and other rooms is also of particular importance.
Room area: calculating floor area
There are various reasons for determining the floor area: repair and purchase of materials for its finishing, thermal insulation, calculation of usable area, etc.
The easiest way to determine the area of \u200b\u200ba room is a square or rectangular shape. In this case, you will need the value of the length and width of the floor, which are multiplied by each other. This option does not require the release of the room from cabinets and other furniture. It is enough to simply measure the distance. However, if there is a fireplace in the room, its area should be subtracted from the total result obtained.
In principle, all items that are permanently on the floor and cannot be moved, such as built-in wardrobes, are calculated from the total floor area.
More difficult is the calculation of the floor area in a room that has an irregular shape. Standard rooms are, of course, rectangular or square in shape, although there are rooms with all sorts of niches, recesses, arches, ledges, etc. This option for calculating the floor area is more complicated, since it requires calculating the area of \u200b\u200bthe figures that make up the room separately.
To calculate the total area, you should divide the space into several regular shapes, in the form of rectangles, trapezoids, squares, etc. For example, if the room is L-shaped, then it is enough to divide it into two rectangles, calculate the area of each of them and summarize the results.
If the room has an L-shape, but it does not run at a right angle, then in addition to two rectangles, it also contains a triangular space, the area of \u200b\u200bwhich is also calculated. To calculate the area of a triangle, it is enough to multiply one leg by another.
In the presence of semicircular fragments in the form of cylindrical or segmental particles, the calculations become more complicated. To calculate the floor area in such a room, it is also necessary to divide the space into several parts, the area of \u200b\u200bwhich is calculated separately.
There are options for rooms that have different floor levels, that is, elevations or slopes. Thus, the room is divided into several zones. For example, in the kitchen there is a dining room and a working part. The same thing happens with the ceiling, for example, multi-level. To calculate the floor area with ledges or hills, you should again divide the space into parts in the form of rectangles or squares, and measure those very protrusions with a ruler and calculate their area. In this way, it will be possible to calculate the total area of \u200b\u200bthe room.
Please note that in this case it is preferable to use a tape measure, which is installed near the base. In addition, you will need a pencil and a notebook to write down all the values. As a result, buying paint and determining the amount of finishing material for the floor will be completed quickly.
Do not measure from the wall as it may be curved and will cause inaccuracies in the floor area determination process. Particularly difficult are the works on determining the floor area, on which there are ledges in the form of a semicircle or wave. This situation involves measuring each of the arcs, finding the radii and splitting the area into several geometric shapes. By determining the area for each of them, the general formula for the asymmetric segment is calculated.
Determining the area of a rectangular room and ceiling
Rectangular room is the most typical and common option. To calculate the area, it is enough to multiply the length of the room by its width. For example, if the length of the room is 3.40 m and its width is 5.20 m, then 3.40x5.20 is enough to determine the area of \u200b\u200bthe ceiling, resulting in 17.68 square meters. To calculate the perimeter of the ceiling, another formula is used, which implies the sum of twice its length and width. That is, the perimeter of the ceiling is equal to 2x3.40 + 2x5.20 = 17.2 m.
Therefore, in the process of purchasing profiles, 17.2 meters of material will be required. However, it is recommended, even when making the most accurate calculations, to buy material with a margin of 10-15 percent, to compensate for various kinds of mechanical damage and joints.
What is the area of the room in which there are niches and ledges
To determine the area of \u200b\u200bsuch a room, you should work hard and perform the following actions:
1. Make a project of the room, taking into account all the design features.
2. Measure and mark heights and lengths for all flat walls.
3. Using a ruler and a square, divide the space into several zones, in the form of regular shapes.
4. Each of the sides of the figure should be measured and marked in the project.
5. According to the formula for calculating the area of \u200b\u200ba figure, determine the values \u200b\u200bof each of them and summarize the results.
How to determine the area of a room with uneven walls
If there is a room in which the walls look like polyhedrons or indirect disproportionate figures, the calculations are much more difficult. Measuring the perimeter in such a room is quite simple. You should use a tape measure and walk with it throughout the room, measuring each of the sections separately.
The area of the room is determined by drawing and designing the room. After the sketch is ready, we break the space in such a way as to get the maximum number of proportional figures in the form of a square, triangle or rectangle.
In order to determine the area of a segment that has the shape of a rectangle with identical edges, it is enough to measure the size of the legs, which are multiplied by each other and divided in half. That is, to determine the area of a triangular segment with legs of 0.5 and 0.9 m, the following calculations should be carried out:
0.5x0.9 / 2 \u003d 0.225 square meters.
How to calculate the area of a room in which there is a multi-level ceiling
The ceiling, on which there are ledges, is more difficult to calculate, but it is quite realistic. There are multi-tiered ceilings that are in the form of straight lines, their calculation is easy to carry out, but there are structures that require special care, since they consist of arcuate or wavy fragments for the calculation of which special efforts are required.
It is too long and costly to calculate each of the sections, especially since the result is not always the correct result. After all, the arcs designed on the ceiling can be arbitrary.
The easiest way to determine the area of the room is by the total area of \u200b\u200bthe floor. To do this, you must perform a series of actions:
1. Measure all straight wall sections.
It is preferable to take measurements closer to the ceiling, as the length of the wall above and below the room may differ.
2. Determine the floor area using the previously indicated methods.
3. On each of the vertical sections, measure their height and length and multiply these figures.
4. Add them to the total floor area.
Determination of the total area of the room
In order to answer the question of how to find out the area of \u200b\u200ba room in square meters, we suggest that you read the instructions that will help you complete this task:
1. Take care of cleaning the space near the walls.
The walls of the room should be freely accessible. Thus, the correctness and accuracy of the measurement will increase. If possible, it is better to free the entire room, since in carrying out certain calculations it will be necessary to measure the central sections.
2. Identify areas in the room that have the correct shape.
If the room looks like a rectangle, then it does not need to be divided. Otherwise, the room is divided into shapes in the form of squares, semicircles, trapezoids, triangles or rectangles.
3. Make a sketch of the room, so it will become easier to work.
Measurement of the area of the room must be carried out according to the sketch, on which all measurements are marked. Tip: In the absence of paper and if you need an urgent measurement, use the adhesive tape that is attached to each wall.
4. Length and width of the room, area.
Each wall should be measured in width and length preferably twice. In order not to measure the entire wall as a whole, it must be divided into several fragments, and as a result, the results obtained should be summarized.
In order to make sure that the calculation is correct, if there is free time, measurements are taken twice.
5. Determine the area of each of the plots:
- the area of a rectangle is equal to the multiplication of its length by its width;
- the area of a square is one of its sides in a square;
- the area of the triangle - the height and side, are multiplied among themselves and the resulting value is divided by two;
- The area of a circle is pi multiplied by the radius squared.
6. The areas of previously defined sections are added together.
Determining the minimum area of a room
1. Plots in the form of a rectangle.
Using a tape measure, the length and width of the plot are measured, they are multiplied together. Data are most often rounded to the nearest centimeter.
2. Triangle.
The area of a given area is determined by multiplying one side of the triangle by its height, that is, the line drawn from the top of the triangle, which divides it into two equal parts. The resulting value is doubled.
3. Circle or semicircle.
Radius definition. This value is squared, multiplied by the number Pi. In the presence of a semicircle, the value is divided into two.
In addition, there are special online calculators on the Internet that allow you to carry out all calculations quickly and efficiently. To work with them, it is enough to select the shape of the room section, measure it with a tape measure and enter the data. The program itself will carry out all the necessary calculations and determine the area.
Optimal room area
Each room has its own size, and during the planning of the house, this factor is taken into account in accordance with their purpose. The minimum value of the area of an ordinary living room is eight square meters.
The area of the common room or living room should be from 13 to 23 square meters. The bedroom should be located in the corner of the house, and not be a walk-through room.
The minimum height of the living space is 240 cm. It is not recommended to equip rooms with a height of more than 300 cm, since they are completely impractical, and a large amount of material investments will be required to heat them in winter.
Each room should be distinguished by the presence of natural light. At least 30% of all walls should be windows. Please note that it is preferable to install windows on the south side, since in winter, on the north side, they will provoke large heat losses.
If the living area of a house or apartment is from 15 to 55 square meters, then the minimum kitchen area should be 6 square meters. When planning a kitchen in buildings with a living area of more than 55 square meters, the kitchen should occupy at least a fifth of the entire house.
If the kitchen occupies more than 10 square meters, it is possible to use it as a dining room or a room for receiving guests. The minimum width of the hallway is 140 cm, it must also have natural light.
For a children's room, an area of \u200b\u200b10-15 square meters is enough. The smallest should be the bathroom and toilet. Their area is equal to 4-8 square meters.
Are you going to buy or sell an apartment, furnish it with furniture, or just started a renovation? In any such case, the price of the issue depends on the exact dimensions of each individual room. You can hire specialists to carry out calculations, but this will entail additional costs. To avoid them, we suggest you figure out how to calculate the area yourself.
How to calculate the area of a room - step by step instructions
When calculating the area, you need to know the length, width and height of the roomYou can, of course, look into the technical documentation of the house and see all the necessary characteristics in it. But, firstly, there are often errors there, and secondly, sometimes it is easier to calculate everything on your own than to find documents.
To carry out the calculations, we need certain tools, most of which can be easily found in every home. Namely:
- roulette;
- pencil;
- note paper;
- calculator (you can use the calculator that is available on our website);
- sobriety of mind and clarity of thought.
Floor
It is better to take measurements at the base of the walls, and for this it is advisable to move or take out all the furniture. But, if such a procedure was not included in your plans, you can measure in the center. The main thing is that the imaginary line along which the measurement will be made is located at an angle of 90 ° to the wall.
After the measurement data has been received and verified, they must be multiplied according to the formula, where S is the area in square meters, a and b are the length and width, respectively.
If a niche or some other adjoins the main room, its area must be calculated using the same algorithm, and the results added to the area of the room. If there are various protrusions that occupy part of it, they should also be measured and the result obtained should be subtracted from the total.
With squares and rectangles, everything is simple. And how to calculate if it has an irregular shape? Here you have to apply logical thinking, and remember a little the school course in algebra and geometry. But let's go in order.
Calculator
If the room is irregular
Try mentally or on paper to divide the room into simple elements (squares, rectangles, triangles). Next, you will need to calculate the size of each of them, and add the results.
- for a triangle - . Where a is the length of the base of the triangle, b is the height drawn from the top to the base;
- for circle - . Where 3.14, r is the radius of the circle (to find out the radius, use a tape measure to find the longest distance between the walls and divide it by 2);
- for a semicircle - (letter designations coincide with the previous paragraph).
As it turned out, in this case, there is nothing complicated. The main thing is to carefully check the measurement results so that a random error does not creep into the calculations, and they do not have to be done again.
And further. If you want to make an installation, do not forget to separately calculate the area that the furniture occupies, and subtract it from the total value for the room.
We have dealt with the floor. But in preparation, for example, for wallpapering, this will not help you much. You will need to find out the exact number of square meters that the walls occupy.
Walls
The area of each individual wall can be calculated in the same way as the square of the floor. Only now, instead of the width of the room, you will need to measure its height. We multiply the length of the wall by the height and we get the result we need in square meters.
And you can calculate for all walls at once. To do this, you need to know the perimeter of space. Take a tape measure and measure the length of each wall, add up the results - this will be the perimeter. It remains to measure the height of the room and use the following formula: where p is the perimeter and h is the height.
Now you need to deal with the window, door and other openings that are present in the room.
To get accurate numbers, builders recommend measuring the wall in three places (at the beginning, middle and end). After that, the obtained data should be summarized and divided by 3 and thus calculate the arithmetic mean. Such a procedure helps to avoid errors, even if .
When measuring windows and doors, you should not calculate the correctness of their shape.
It is better to personally measure all four sides, and not just two adjoining. This approach will protect you from the consequences of the negligence of builders and unnecessary costs (for example, when replacing windows or doors).
Whatever the reason why you still decide to figure out how to calculate the area of \u200b\u200bthe room yourself - remember that it is desirable to do any work with high quality. Therefore, try to carefully plan the whole process, prepare the necessary tools, and feel free to proceed with measurements and calculations. And our tips, we hope, will make it easier for you to implement them.
Video: calculating the area of \u200b\u200bthe room
If you decide to make or at home, first of all you need to choose and understand how many of them you need. To do this, you need to correctly calculate the area of all surfaces in the apartment. Of course, you can resort to the help of professionals, while spending extra money. And you can do it yourself. This article is devoted to how to calculate the area of a room of different shapes.
Read in the article
Why is it necessary to know the area of \u200b\u200bthe room and what is required for calculations?
In what cases is it necessary to calculate the area of \u200b\u200bthe room?
- Of course, first of all to determine the quantity to repair. Many people buy them with a margin, and return the surplus to the store. However, in this case, a lot of time is lost, moreover, not all stores provide such a service. Therefore, it is more expedient to correctly calculate the area of \u200b\u200ball surfaces before shopping.
- In addition, knowing the area is easier. After all, even the cost of the work of employees in most cases depends on how many square meters they have to process.
- The amount also depends on the area. However, in most cases, complex calculations are not resorted to when choosing fixtures; this issue is usually resolved empirically.
- And the last. One of the main quantities in the apartment is the volume of the premises (in this case, it is necessary to multiply the area by the height), because depending on it they select.
Important! Be sure to check the area when buying an apartment, especially if you bought it in a new building. After all, the size of utility bills and often the cost of the living space itself depend on it. For example, the developer (in the case of equity participation in construction) is obliged to reimburse the cost of the missing square meters.
Thus, there are a huge number of reasons why it is necessary to correctly calculate the area of \u200b\u200bthe room. But where to start? First you need to prepare the measured room and tools.
It is desirable to carry out measurements in a completely vacant room. If this is not possible, clear at least the areas near the walls, because it is along them that measurements will be taken.
Important! If the room is rectangular, check the correctness of its shape before starting measurements. To do this, compare opposite diagonals. If they are equal, you have a regular equilateral rectangle.
So, to determine the area of \u200b\u200bthe room, the following are needed:
- Roulette. Of course, the electronic device is more convenient, but it has a large error. In addition, complex shapes cannot be measured with such a tape measure; problems can also arise when working with protruding elements. Therefore, the optimal set is a simple tape measure and a ruler. The main thing is to check their accuracy, since many old or children's devices have a decent error.
- Pencil.
- A sheet of paper for calculations and recording results.
- Calculator.
In addition, you may need a long ruler to check the evenness of the walls.
How to calculate square meter?
In square meters, in most cases, the area of \u200b\u200bany surface is calculated. So how to calculate square meter?
To begin with, if the room is rectangular, you need to measure its length and width. In this case, it is desirable to use a tape measure with applied divisions of centimeters and millimeters. If you can only find a ruler with feet, it doesn't matter, they can be easily converted to square meters.
Further, the two obtained values \u200b\u200bin centimeters are converted into meters (it’s easier to do it right away) by dividing by 100. Then the two values \u200b\u200bare multiplied, the resulting value is the area of \u200b\u200bthe room in square meters. If you have feet, first multiply the resulting values, so you get square feet. Then, to convert to m 2, multiply the resulting value by 0.093 (if the measurements were made in yards, multiply the result by 0.84). In this case, the calculator is an excellent solution for calculating square meters.
Interesting! On the Internet, there are many online square meters calculators for calculating the area of \u200b\u200bthe room. If a computer is at hand, this method will be the fastest.
When the figure is received, round it up to 2 decimal places, a more accurate value will be redundant.
How to calculate the area of a room yourself?
The perfect room is a rarity. How to find out the area of a room with ledges, niches or curved bevels? The simplest thing is to measure the lengths of all the walls, as well as the angles between them, and then draw a plan of your room on a piece of paper (the scale will most likely fit 1:100, that is, one centimeter on paper will correspond to one meter in the room) . Then it is necessary to divide the room into regular shapes (rectangles, triangles, circles, and so on), if possible, and using the formulas for calculating the area, determine the quadrature of each section.
Below are the most popular figures, descriptions of the calculation methods of which will help answer the question: "How to calculate the area of \u200b\u200bthe room yourself?".
How to find the area of a rectangle?
How to calculate the area of a rectangle yourself? A regular rectangular room is the simplest case. To calculate the area of a rectangle, simply multiply its length and width. However, there are also some nuances in this situation:
- After measuring one of the sides, the second must be measured strictly perpendicular. Otherwise, measurements can be obtained with a significant error.
- To avoid inaccuracies, measure both parallel walls, as often their lengths are somewhat different, and for accuracy it is desirable to take their arithmetic mean. That is, add their values and divide by 2.
- Do not forget to subtract all kinds of protrusions from the resulting area (or add niches).
Interesting! There are many programs on the Internet for calculating the area of a rectangle, the online calculator is the simplest and most convenient of them.
Any surface in the room is subject to repair, whether it be walls or floors, so it is very important to know how to calculate the area of the room in whole or in parts.
But in an ordinary room, the floor always corresponds to the ceiling and is often calculated using the formula for the rectangle S = AB, where A and B If you are going to make repairs in a house that was not built by you or without your participation or control, make sure that the lengths of opposite walls in each room are the same. The room sometimes looks like a perfect rectangle, but in fact one wall can be several centimeters shorter than the other.
Using the above formula, you will get a fair amount of error. To avoid it, determine the correct rectangle with measurements, and for all deviations from it, count square meters separately. You will most likely be dealing with triangles where 2 sides meet at 90 degrees, so the formula would be S = AB/2 where A and B- the length of the legs.
The biggest difficulty faced by those who started repairs on their own is irregularly shaped rooms. For example, it is difficult to perform calculations if, for example, an arched partition separates the living room from the corridor. Therefore, in this case, before calculating the square meters on which the room will be repaired, it is necessary to clearly define the boundary, as well as the radius of the bend of the wall.
Further, in order not to mess with the sines and cosines of the angles, we take the arc and the two radii limiting it as a sector of the circle and consider its square meters: S = Lr / 2, where L is the length of the arc, and r- radius, the values \u200b\u200bof which are not difficult to find out by measurements. Now you need to determine the distance between the ends of the arcuate bend of the room. This will give us the chord of the calculated sector, together with the radii it will form a triangle, the area of \u200b\u200bwhich is found by the formula S \u003d b √ (4a 2 - b 2) / 4, where b- the base of the triangle (the chord of the sector), a– its side (sector radius).
We subtract the quadrature of the triangle from the previously determined area of the sector and get the value for the complex section of the room, which has the shape of a segment. To make it easier to determine square meters for planning a complex configuration, it is enough to break the room into simple figures and calculate the area for each separately, and then add the results.
Consider the option when you need to make repairs in a room with 5 walls. If this is just a standard room, one of the corners of which is cut off, then everything is quite simple. We first consider the area, as if it were an even rectangle, that is, along the two longest adjacent sides, the formula S \u003d AB. Then we draw from the ends of the fifth wall lines perpendicular to each other, converging at one point, and measure the resulting sides of a right-angled triangle. Next, we calculate according to the formula S = AB / 2 and subtract the resulting value from the result of the first formula.
But it happens that the room has a "sprout" going at an obtuse or acute angle to the main space. That is, the area includes not only 2 rectangles, but also a scalene triangle. Having determined its boundaries, we measure them, and then use the Heron formula S = √(p(p – a)(p – b)(p – c)), where p– semiperimeter, which is considered as follows p = (a + b + c)/2, here and earlier a, b and c- Sides of a triangle. The result obtained is summarized with the solutions for the two rectangles that make up the wrong layout of the room.
We calculate the area of \u200b\u200bthe walls
Plasterboarding, plastering, painting, tiling - these and other types of work involve the repair of walls that are an integral part of the room. Accordingly, for them, too, you need to correctly calculate the area. All calculations are based on measurements of the perimeter of the room and its height. The results are substituted into the formula S = Ph, here h is the height, and P(perimeter) is calculated as follows: P = 2(A + B), where A and B- the lengths of adjacent walls having a common angle.
