The ratio of the length of the playground to its width is 7: 2. Find its perimeter if the width

The ratio of the length of the playground to its width is 7: 2. Find its perimeter if the width of the playground is 15 m less than its length.

We will solve this problem by drawing up an equation;

Let x m be the value of the width of the given sports ground;

Then 7/2 * x m is the value of the length of this sports ground;

We also know that the width is less than the length of this site by 15 m, we draw up an equation of the following form:

7/2 * x – x = 15;

3 1/2 * x – x = 15;

2 1/2 * x = 15;

x = 15: 2 1/2;

x = 6.

6 m – the value of the width of this site;

7/2 * 6 = 21 m – the value of the length of this site;

Let’s find the value of the area of ​​the given sports ground, for this it is necessary to multiply the value of the width of the given area by the value of the length of the given area:

6 * 21 = 126 m2 – the value of the area of ​​the given sports ground.

Answer: 125 m2 is the value of the area of ​​this sports ground.