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.