Question

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.

Answer 1

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.