
Из подготовки к ЕГЭ! Помогите, пожалуйста :) Одного рулона обоев хватает для оклейки
полосы от пола до потолка шириной 1,6 м. Сколько рулонов обоев нужно купить для оклейки прямоугольной комнаты размерами 2,3 м на 4,1 м?

Ответы на вопрос

12.8:1.6=8
Ответ: 8 рулонов



2,3 х 2 + 4,1 х 2 = 12,8
Определяем кол-во рулонов
12,8/1,6 = 8 рулонов



Calculation of Wallpaper Rolls Needed
To calculate the number of wallpaper rolls needed to cover a rectangular room, we need to determine the total area of the walls and divide it by the area covered by one roll of wallpaper.
Given: - Width of the wallpaper roll: 1.6 meters - Dimensions of the room: 2.3 meters by 4.1 meters
To find the area of the walls, we need to calculate the perimeter of the room and multiply it by the height of the room (from floor to ceiling).
The perimeter of the room is calculated by adding the lengths of all four sides: Perimeter = 2 * (Length + Width)
For the given room dimensions: Perimeter = 2 * (2.3 + 4.1) = 2 * 6.4 = 12.8 meters
Now, we can calculate the area of the walls: Wall Area = Perimeter * Height
For the given room height (from floor to ceiling) of 1.6 meters: Wall Area = 12.8 * 1.6 = 20.48 square meters
Next, we need to determine the area covered by one roll of wallpaper, which is given as 1.6 meters in width.
Area Covered by One Roll = Width of Roll * Height of Roll
For the given roll dimensions: Area Covered by One Roll = 1.6 * 1 = 1.6 square meters
Finally, we can calculate the number of rolls needed by dividing the total wall area by the area covered by one roll:
Number of Rolls Needed = Wall Area / Area Covered by One Roll
Number of Rolls Needed = 20.48 / 1.6 = 12.8
Since we cannot purchase a fraction of a roll, we need to round up to the nearest whole number. Therefore, 13 rolls of wallpaper are needed to cover the rectangular room with dimensions 2.3 meters by 4.1 meters.
Please note that the calculations provided are based on the given information and assumptions about the dimensions and coverage of the wallpaper rolls. It's always a good idea to consult with a professional or refer to the manufacturer's guidelines for accurate measurements and calculations.


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