Enter your answer and show all the steps that you use to solve this problem in the space provided.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.

Question

Enter your answer and show all the steps that you use to solve this problem in the space provided.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

Let's represent the width of the pool as w.

Since the perimeter of a rectangle is calculated by adding the lengths of all its sides, we can write the following equation:

Perimeter = 2(length + width)

Given that the length of the pool is 22 feet and the perimeter must be no more than 120 feet, we can substitute these values into the equation:

120 ≤ 2(22 + w)

Now, we can simplify and solve the inequality:

120 ≤ 44 + 2w

120 - 44 ≤ 2w

76 ≤ 2w

Dividing both sides by 2:

38 ≤ w

Therefore, the inequality that represents what the width of the pool must be is w ≥ 38.