The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet's length and width.

Question

Kai Mueller

Mathematics

15 January, 08:03

The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet's length and width.

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Answers (1)

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Gauge Burke · Answer 1

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2 (w^2 + 2w - 24) = 0

2 (w+6) (w-4) = 0

w = {4, - 6}