Question

Adam is building a rectanglar swimming pool. The perimeter of the pool must be no more then 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. Can someone tell me the inequality? I can solve it on my own, i just want to know the equation

Answer 1

`W\leq 38\ ft`

The maximum width must be
`38\ ft`

Explanation:

Let

L ----> the length of the rectangular pool

W ---> The width of the rectangular pool

we know that

`P\leq 120\ ft`

`P=2(L+W)`

so

`2(W+L)\leq 120` ----> inequality A

we have

`L=22\ ft`

substitute the value of L in the inequality A

`2(W+22)\leq 120`

simplify

`(W+22)\leq 60`

`W\leq 60-22`

`W\leq 38\ ft`

The maximum width must be
`38\ ft`