A rectangular parking lot has length that is 9 yards less than twice its width. If the area of the land is 221 square yards, what are the dimensions of the land?

Question

Mathematics

Savanah Odonnell

11 August, 10:12

A rectangular parking lot has length that is 9 yards less than twice its width. If the area of the land is 221 square yards, what are the dimensions of the land?

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Answers (1)

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Lincoln Schneider · Answer 1

The width is 13, the length is 17

Step-by-step explanation:

You have to write an expression to represent the area of the rectangle. The width can be w, and the length can be 2w-9. Since the parking lot is a rectangle, you multiply the length by the width to get your area. w (2w-9) is 2w^2-9w=221. The only value of w that satisfies this equation when substituted is 13, so that is your width. 2 (13) - 9 is 26-9 is 17, so the length is 17.