College

We appreciate your visit to Adam is building a rectangular swimming pool The perimeter of the pool must be no more than 120 feet If the length of the pool. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120 feet. If the length of the pool is 22 feet, write and solve an inequality that represents what the width of the pool must be.

Let \( w \) be the width of the pool.

The formula for the perimeter of a rectangle is:
\[ 2 \times \text{length} + 2 \times \text{width} \leq 120 \]

Substitute the given length:
\[ 2 \times 22 + 2w \leq 120 \]

Solve for \( w \):
\[ 44 + 2w \leq 120 \]

\[ 2w \leq 76 \]

\[ w \leq 38 \]

Therefore, the width of the pool must be no more than 38 feet.

Answer :

Given

a rectangle with perimeter at most 120 feet

length of the rectangle is 22 feet

Find

a) an inequality for the width

b) the solution to the inequality

Solution

a) The formula for the perimeter P of a rectangle in terms of length L and width W is ...

... P = 2(L + W)

Filling in the given information, you have

... 120 ≥ P

... 120 ≥ 2(22 +W) . . . . . . your inequality

b) Divide by 2 and subtract 22.

... 60 ≥ 22 +W

... 38 ≥ W . . . . . . . . . . . . . your solution

The width of the pool must be no more than 38 feet.

Thanks for taking the time to read Adam is building a rectangular swimming pool The perimeter of the pool must be no more than 120 feet If the length of the pool. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada