Calculation of ceramic tiles for the toilet. How to correctly and quickly calculate the square meters of walls, floors and ceilings? The volume of the room according to the formula, complex figures How to calculate the area of a triangle

23.06.2020

Are you going to buy or sell an apartment, furnish it or just start a renovation? In any such case, the issue price depends on the exact dimensions of each a separate 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 room

You can, of course, look into the technical documentation at home and see all the necessary characteristics in it. But, firstly, there are often mistakes 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 count if she has irregular shape? Here you have to apply logical thinking, and remember a little 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 general meaning for the premises.

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 extra costs(for example, when replacing windows or doors).

Whatever the reason why you still decide to figure out how to independently calculate the area of \u200b\u200bthe room - remember that it is desirable to do any work with high quality. Therefore, try to carefully plan the whole process, prepare 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 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 construction and finishing materials, provided, of course, that you have already decided on a design project and 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 need to calculate the area of \u200b\u200ball 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 works, you need to calculate from the total area of the walls the area that windows and doors occupy. 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 height is 2 meters and the width is 0.90 m, 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 area of the walls is 55.8 square meters, the area of the floor and ceiling is 24 square meters each.

Igor Voropaev

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 (ledges, niches), and also determine the values of other quantities in cubic and running meters.

If this 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). After converting indicators and units, he will present a quick final result with the presence correct sizes, which will be used to calculate the cost of conducting various works(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.

Choose a tape measure or measuring tape. Choose a tape measure or measuring tape that has markings in centimeters (cm) or meters (m). This fixture will make it easier to calculate the area in square meters, since they were designed in the same measurement system.

If you can find a tape measure in feet or inches, measure the area using the available units, and then proceed to the step that describes how to convert other units of measurement to square meters.

Measure the length of the area you have chosen. A square meter is a unit of measurement for the area or size of a two-dimensional object such as a floor or field. Measure the length of one side from one corner to the other and record the result.

If the length is more than one meter, then count both meters and centimeters. For example, 2 meters 35 centimeters.
If the object you are measuring is not a rectangle or square, then read the third section of this article - "Measuring the area of complex shapes."

If you cannot measure the length at a time, do it in stages. Unfold the tape measure and make a mark where it ended (for example, 1 meter or 25 centimeters), then unfold it again and start from the marked area. Repeat until you have measured the entire length. Then add all the measurements together.

Measure the width. Use the same tape measure to measure the width of an object. The measurement must be started by placing the tape measure at an angle of 90º with respect to the length of the object that you have already measured. That is, two lines of a square adjacent to each other. Also write down the resulting numbers on paper.

If the measured length is slightly less than one meter, then round to the nearest centimeter when you take measurements. For example, if the width is slightly larger than 1 meter 8 centimeters, then simply write "1 m. 8 cm." don't count millimeters.

Convert centimeters to meters. Usually, measurements cannot be made exactly in meters. You will get indicators in both meters and centimeters, for example, "2 meters 35 centimeters." 1 centimeter = 0.01 meters, so you can convert centimeters to meters by moving the decimal point 2 digits to the left. Here are some examples.

35cm=0.35m so 2m 35cm=2m+0.35m= 2.35m
8cm = 0.08m, so 1m 8cm = 1.08m

Multiply the length by the width. Once you convert all measurements to meters, multiply the length by the width and get the area of \u200b\u200bthe object being measured. Use a calculator if necessary. For example:

2.35m x 1.08m = 2.538 square meters (m2).

Round up. If you get a lot of decimal places, for example, 2.538 square meters, then round up, for example, to 2.54 square meters. It is likely that you did not take measurements to the nearest millimeter, so the last figures will still not be accurate. In most cases, we round to the nearest centimeter (0.01m). If you need more accurate measurements, read this material.

Every time you multiply two numbers with the same unit of measure (eg meters), the answer must be written in the same unit of measure (m 2 , or square meters).

It is impossible to repair the floor surface without knowing the exact floor area in a private household or apartment. The fact is that today the cost building materials quite high, and every property owner tries to save as much as possible on their purchase. Therefore, information on how to calculate the floor area will not be superfluous for someone who prefers to make repairs with his own hands.

Why you need to know the floor area

Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. To do this, you will need the original data. For this reason, it is important to know how to calculate the floor area accurately. This is especially true for uneven surfaces and rooms with a non-standard layout.

There are other reasons when there is a need to accurately determine the dimensions of the floor surface:

performance quality control construction work;
the need for redevelopment of the premises.

Determining the area of a rectangular room

Before you calculate the floor area, you should stock up on a calculator and a measuring tape. Most often there are rooms in the shape of a rectangle. To calculate their area, they use a formula known to everyone from school: S \u003d a x b, where a and b are the length and width. For example, a room has parameters of 3 and 4 meters, then the desired value will be 12 square meters. m.

In the event that the room has a fireplace or built-in furniture, then you need to find out their area and subtract from the total area. In case of overhaul floor, all unnecessary in the room will have to be dismantled.

Calculation of the area of the room of the wrong layout

It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses the layout contains niches, triangular recesses and rounded elements, as in the photo.

In this case, before calculating the quadrature of the floor, the layout of the room must be divided into separate zones. For example, if the room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of \u200b\u200beach of them and add the results.

Finding the area of a triangular room

When another part of the room is not perpendicular to the main area, this means that there is also a triangle between the two rectangles, which has a right angle.

In this case, the area of \u200b\u200bthe triangle is calculated by the formula: S \u003d (a x b): 2 and added to grand total. For example, a \u003d 2, b \u003d 3, then S \u003d (2x3): 2 \u003d 3 m².

You can define the area in another way:

First calculate the square of the rectangle.
Determine the area of the beveled triangular corner.
Subtract the area of the triangle from the quadrature of the rectangle.

When the triangle has no right angle, then use Heron's formula S = √p(p - a)(p - b)(p - c).

For example, its sides are 5, 6 and 7 meters, then the calculations are made as follows:

Find out the semiperimeter of the triangle p = (5+6+7):2 = 9.
Digital values are substituted into the Heron formula and the result is obtained: √ (9 x (9-7) x (9-6) x (9-5) \u003d 14.7 m².

The square of the premises is rounded

Often a similar form is present at the windows in houses. old building or on balconies that are combined with rooms. First, calculate 1/2 of the protruding part of the circle and add to the area of the rectangle, applying the formula S = πR²: 2, in which:

R² is the radius of the circle squared.

How to calculate the area of the walls of a room

The procedure for calculating the area of \u200b\u200bwalls and floor is different. The fact is that before you calculate the quadrature of the floor, you should find out the length and width of the room, and to calculate the walls you will need to measure its height. Therefore, they first find out the perimeter of the room and multiply by the height of the ceilings.

For example, the floor parameters are 3 and 4 meters, and the height of the room is 3 meters. In this case, the perimeter of the walls will be equal to (3 + 4) x2 = 14 m, and their area S = 14x3 = 42 m².
In this case, one should not forget about the quadrature of the openings of windows and doors. Their area is subtracted after the completion of wall calculations. But on the other hand, they can be ignored and thus provide a certain supply of materials.

Proportions between floor and window area

According to SNiP 31-01-2003, the parameters of windows and their number should depend on the quadrature of the floor. So for residential multi-apartment buildings, the ratio between the areas of window openings and the floor surface will be from 1:5.5 to 1:8. As for the upper floors, a minimum proportion of 1:10 is allowed there.

For private households, this norm is regulated by SNiP 31-02-2001. According to this documentation, for every 8 "squares" of the floor surface, there must be at least one "square" of a source of natural light flux. On the attic floors, this proportion cannot be less than 1:10.

To ensure high-quality repairs, you need to find out in advance how to calculate the floor area and other required dimensions premises. Preparatory stage also provides for the purchase of building materials and then during the repair process, costs will be minimized, since there will not be large residues and the cost of delivery will be inexpensive.

Manual way Calculations on how to find out the floor area will take longer than when making calculations on an existing building calculator, but it allows you to find out more accurate results.

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. How to calculate the area of a room different shapes, this article is devoted to.

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 work employees in most cases it 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? room right rectangular shape 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.