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.
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Let's assume the width of the pool is represented by "w".
The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.
Substituting the given values, we have:
120 = 2(22) + 2w
Simplifying the equation:
120 = 44 + 2w
Subtracting 44 from both sides of the equation:
120 - 44 = 44 - 44 + 2w
76 = 2w
Dividing both sides of the equation by 2:
76/2 = 2w/2
38 = w
Therefore, the width of the pool must be less than or equal to 38 feet.