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
[tex]P=2(x+y)[/tex]
we have
[tex]y=22\ ft[/tex]
substitute
[tex]P=2(x+22)[/tex]
[tex]P=2x+44[/tex]
Remember that
The perimeter of the pool must be no more than 120 feet
so
The inequality that represent this scenario is
[tex]2x+44 \leq 120[/tex]
Solve for x
[tex]2x \leq 120-44[/tex]
[tex]2x \leq 76[/tex]
[tex]x \leq 38\ ft[/tex]
therefore
The maximum width of the pool must be 38 ft
