sarahpounce sarahpounce

12-06-2017
Mathematics

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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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NapoleonBonaparte NapoleonBonaparte

12-06-2017

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.

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