Question

Кофейня и кондитерская расположены в соседних прямоугольных помещениях, и площадь кондитерской на 30 м2 больше. Если они снесут стену, которая их разделяет, то получится одно большое прямоугольное кафе с периметром 82 м и площадью 390 м2. Какой длины общая стена, если известно, что она длиннее 20 м?

Answer 1

(390-30):2=180 м² - площадь кофейни
180+30=210 м² - площадь кондитерской
82:2=41 м - сумма длин двух сторон
Найдем длину общей стены по площадям кофейни и кондитерской.
это числа 5, 10 15, 30
390:5=78 - не подходит, т.к. 5+78≠41
41-10=31 - не подходит, т.к. 31*10≠390
41-15=26
26*15=390 - верно.

Длина общей стены равна 26 м.

Answer 2

Problem Analysis

We are given that a coffee shop and a confectionery are located in adjacent rectangular spaces, with the confectionery being 30 m² larger than the coffee shop. If they remove the wall that separates them, they will create one large rectangular cafe with a perimeter of 82 m and an area of 390 m². We need to determine the length of the shared wall, knowing that it is longer than 20 m.

Solution

Let's assume the length of the coffee shop is x meters. Since the confectionery is 30 m² larger, its length will be x + 30 meters.

The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width). We are given that the perimeter of the combined cafe is 82 m, so we can set up the following equation:

2 * (x + (x + 30)) + 2 * (x + 30) = 82

Simplifying the equation, we get:

2x + 60 + 2x + 60 = 82

Combining like terms:

4x + 120 = 82

Subtracting 120 from both sides:

4x = 82 - 120

4x = -38

Dividing both sides by 4:

x = -38 / 4

x = -9.5

Since the length of a wall cannot be negative, we can conclude that there is an error in the given information or the calculations. Please double-check the problem statement or provide additional information to proceed with the solution.

If you have any further questions, please let me know.