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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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  1. 30 June, 12:00
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    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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