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Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 200 ft. If the length of the pool is 30 feet, write and solve an inequality that represents what the width of the pool must be.

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User Laurabeth
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Answer: The perimeter is multiply the length by 2 and adding it to the width times 2:P = 2L +2WThe perimeter can't be more than 120 and the length is 22 feet.So 2L + 2W has to be less than or equal to 120:2L + 2W ≤1202(22) + 2W ≤12044 + 2W≤1202W ≤ 120 -442W≤76W ≤ 76/2W ≤ 38 feet

Explanation:

User Lokesh Dhakar
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Let's denote the width of the pool as x.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
In this case, the perimeter must be no more than 200 ft. Therefore, we can write the inequality as:
2(30) + 2x ≤ 200
60 + 2x ≤ 200
2x ≤ 200 - 60
2x ≤ 140
x ≤ 140/2
x ≤ 70
Therefore, the width of the pool must be less than or equal to 70 feet.
User Kirk Kuykendall
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