Question

A rectanglar swimming pool is three times as long as it is wide. If the perimeter of the soccer feild is 300 yards, what are the dimensions?

Answer 1

The dimension of the rectangular pool is
`112.5* 37.5`

Explanation:

Given : A rectangular swimming pool is three times as long as it is wide. If the perimeter of the soccer field is 300 yards.

To find : What are the dimensions?

Solution :

Let the width of the rectangular pool be 'x'.

A rectangular swimming pool is three times as long as it is wide.

The length of the pool be '3x'

The perimeter of the rectangular swimming pool is
`P=2(l+w)`

The perimeter of the soccer field is 300 yards.

Substitute the value in the formula,

`300=2(3x+x)`

`300=2* 4x`

`300=8x`

`x=(300)/(8)`

`x=37.5`

The width of the pool is x=37.5 unit

The length of the pool is
`3x=3(37.5)=112.5`

Therefore, The dimension of the rectangular pool is
`112.5* 37.5`