Answer:
[tex]W\leq 38\ ft[/tex]
The maximum width must be [tex]38\ ft[/tex]
Step-by-step explanation:
Let
L ----> the length of the rectangular pool
W ---> The width of the rectangular pool
we know that
[tex]P\leq 120\ ft[/tex]
[tex]P=2(L+W)[/tex]
so
[tex]2(W+L)\leq 120[/tex] ----> inequality A
we have
[tex]L=22\ ft[/tex]
substitute the value of L in the inequality A
[tex]2(W+22)\leq 120[/tex]
simplify
[tex](W+22)\leq 60[/tex]
[tex]W\leq 60-22[/tex]
[tex]W\leq 38\ ft[/tex]
The maximum width must be [tex]38\ ft[/tex]