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 28 feet, write and solve an inequality that represents what the width of the pool must be.

Question

Please show your work

Answer 1

Let's assume that the width of the pool is W feet.

The perimeter of a rectangle can be calculated by adding the lengths of all its sides.

In this case, the perimeter of the pool is given as 120 feet, so we can write the inequality:

2(28 + W) ≤ 120

Simplifying the inequality:

56 + 2W ≤ 120

Subtracting 56 from both sides:

2W ≤ 64

Finally, dividing both sides by 2:

W ≤ 32

So the width of the pool must be no more than 32 feet.