Question

Площадь физкультурного зала в 6 раз больше площади классной комнаты. Найдите площадь зала, если она больше площади классной комнаты на 250 м. Решите задачу уровнением с краткой записью.

Answer 1

6x-x=250
x=250:5
x=50 площадь кл. комнаты
50x6=300

Answer 2

Problem Analysis

We are given that the area of a gymnasium is 6 times larger than the area of a classroom. We need to find the area of the gymnasium if it is larger than the classroom by 250 square meters. We can solve this problem by setting up an equation.

Solution

Let's assume the area of the classroom is x square meters. According to the problem, the area of the gymnasium is 6 times larger than the area of the classroom. Therefore, the area of the gymnasium is 6x square meters.

We are also given that the area of the gymnasium is larger than the classroom by 250 square meters. So, we can set up the equation:

6x - x = 250

Simplifying the equation, we get:

5x = 250

To find the value of x, we divide both sides of the equation by 5:

x = 250 / 5

Simplifying further, we get:

x = 50

Therefore, the area of the classroom is 50 square meters.

To find the area of the gymnasium, we substitute the value of x into the equation:

Area of gymnasium = 6x = 6 * 50 = 300 square meters

So, the area of the gymnasium is 300 square meters.

Answer

The area of the gymnasium is 300 square meters.