3 years ago

Extra points! please help !!

Mathematics

1 answer:

Xelga [282]3 years ago

4 0

Answer:

The maximum width of the pool must be 38 ft

Step-by-step explanation:

Let

y -----> the length of the swimming pool

x ----> the width of the swimming pool

The perimeter of the swimming pool is

$P=2(x+y)$

we have

$y=22\ ft$

substitute

$P=2(x+22)$

$P=2x+44$

Remember that

The perimeter of the pool must be no more than 120 feet

The inequality that represent this scenario is

$2x+44 \leq 120$

Solve for x

$2x \leq 120-44$

$2x \leq 76$

$x \leq 38\ ft$

therefore

The maximum width of the pool must be 38 ft

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