The area of a rectangular wall of a barn is 160 square feet. It's length is 4 feet longer than twice it's width. Find the length and width of the wall of the barn

Question

Alexzander Lamb

Mathematics

30 June, 11:48

The area of a rectangular wall of a barn is 160 square feet. It's length is 4 feet longer than twice it's width. Find the length and width of the wall of the barn

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Answers (1)

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Finley Cochran · Answer 1

Formula:

L = 2W + 4

Width:

W (2W + 4) = 160

2W^2+4W = 160

2W^2 + 4W - 160 = 0

2 (W^2 + 2W - 80) = 0

2 (W + 8) (W - 10) = 0

Width:

W - 10 = 0

W = 10

Width is 10 ft.

Length:

L = 2 (8) + 4

L = 16 + 4

L = 20

Length is 20 ft.