Question

Площадь ковра, который находится на одинаковом расстоянии от каждой стены в комнате, равна половине площади комнаты. Зная, что размеры ковра равны 4 м×6 м, найдите площадь комнаты. Решение задачи проиллюстрируйте рисунком

Answer 1

4*6=24 м2-площадь ковра
24*2=48м2-площадь комнаты
стороны комнаты: 6м*8м, ковер находится на расстоянии 1 м от каждой стены

Answer 2

Problem Statement

We are given that the area of a carpet, which is equidistant from each wall in a room, is half the area of the room. The dimensions of the carpet are 4m x 6m. We need to find the area of the room and illustrate the solution with a diagram.

Solution

To find the area of the room, we can use the given information that the area of the carpet is half the area of the room.

Let's denote the length of the room as L and the width of the room as W. The area of the room is then given by L * W.

According to the problem, the area of the carpet is half the area of the room. Therefore, the area of the carpet is (L * W) / 2.

We are also given that the dimensions of the carpet are 4m x 6m. Therefore, we can set up the following equation:

(L * W) / 2 = 4 * 6

To find the area of the room, we need to solve this equation for L * W.

Multiplying both sides of the equation by 2, we get:

L * W = 2 * 4 * 6

Simplifying the right side of the equation, we have:

L * W = 48

Therefore, the area of the room is 48 square meters.

Diagram

Here is a diagram illustrating the problem:

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The dimensions of the room are not specified, so the diagram represents a generic rectangular room.

Conclusion

The area of the room, given that the carpet is equidistant from each wall and has dimensions of 4m x 6m, is 48 square meters.