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Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer than width. What is the width of the patio?

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  1. 7 July, 05:51
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    A = LW

    A = 72

    L = W + 1

    72 = W (W + 1)

    72 = W^2 + W

    W^2 + W - 72 = 0

    (W + 9) (W - 8) = 0

    W + 9 = 0

    W = - 9 ... extraneous solution ... does not work here

    W - 8 = 0

    W = 8 <==

    L = W + 1

    L = 8 + 1

    L = 9

    so the width (W) is 8 ft and the Length is 9 ft
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