A landscaper is designing a rectangular . The length of the is to be 5 feet longer than the width.

Question

A landscaper is designing a rectangular . The length of the is to be 5 feet longer than the width. If the area of the will be 104 square feet, what will be the length, in feet, of the ?

Accepted Answer

The correct answer is 13. Let w represent the width of the rectangular , in feet. Since the length of the will be 5 feet longer than the width of the , the length of the will be feet. Thus the area of the will be . It is also given that the area of the will be 104 square feet. Therefore, , which is equivalent to . Factoring this equation results in . Therefore, and . Because width cannot be negative, the width of the must be 8 feet. This means the length of the must be feet.

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