Question

Спортивный зал,одна сторона которого равна 15 м,разделили на раздевалку и помещение для занятий.Площадь раздевалки составила 2/7 площади всего зала и оказалась равной 90м( В КВАДРАТЕ) Найдите размеры помещения для занятий.Помогите ,пожалуйста

Answer 1

90*7/2=315м² площадь всего зала

315-90=225м² помещение для занятий

Answer 2

Problem Analysis

We are given a sports hall, one side of which is 15 meters long. The hall is divided into a changing room and a space for activities. The area of the changing room is 2/7 of the total area of the hall and is equal to 90 square meters. We need to find the dimensions of the space for activities.

Solution

Let's assume the length of the space for activities is x meters. Since the area of the changing room is 2/7 of the total area of the hall, we can set up the following equation:

(2/7) * (15 * x) = 90

To find the dimensions of the space for activities, we need to solve this equation.

Calculation

Let's solve the equation step by step:

(2/7) * (15 * x) = 90

Multiply both sides by 7 to eliminate the fraction:

2 * 15 * x = 90 * 7

Simplify:

30 * x = 630

Divide both sides by 30 to solve for x:

x = 630 / 30

Simplify:

x = 21

Therefore, the length of the space for activities is 21 meters.

Answer

The dimensions of the space for activities in the sports hall are 21 meters in length.