Question

A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are its dimensions?

Equations and inequalities
ANSWERED
asked 2021-05-03
A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are its dimensions?

Expert Answers (2)

2021-05-05
12
 
Best answer
2021-08-04

Let x be the width of the rectangular swimming pool so that its width is 3x, both feet.
Since the perimeter is 320 ft, we can write:
\(\displaystyle{P}={2}{l}+{2}{w}\)
\(\displaystyle{320}={2}{\left({3}{x}\right)}+{2}{\left({x}\right)}\)
Solve for x. Divide both sides by 2:
\(\displaystyle{160}={3}{x}+{x}\)
\(\displaystyle{160}={4}{x}\)
\(\displaystyle{40}={x}\)
So, the dimensions of the rectangular swimming pool are:
120 feet by 40 feet

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