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17 April, 00:13

The area of a rectangular concrete patio is 70 square meters. the perimeter is 34 meters. what are the dimensions of the patio? meters by meters submit

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  1. 17 April, 00:19
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    A = L * W

    A = 70

    70 = L * W

    P = 2 (L + W)

    P = 34

    34 = 2 (L + W)

    34/2 = L + W

    17 = L + W

    17 - W = L

    70 = L * W

    L = 17 - W

    70 = W (17 - W)

    70 = - W^2 + 17W

    W^2 - 17W + 70 = 0

    (W - 10) (W - 7) = 0

    W - 10 = 0 L = 17 - 10

    W = 10 L = 7

    W - 7 = 0 L = 17 - 7

    W = 7 L = 10

    so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters
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