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

Answer:

The dimension of the rectangular pool is $112.5\times 37.5$

Step-by-step 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,

$300=2(3x+x)$

$300=2\times 4x$

$300=8x$

$x=\frac{300}{8}$

$x=37.5$

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 $112.5\times 37.5$