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8 October, 09:50

A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m what is the length and width of the patio?

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  1. 8 October, 12:24
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    LW = 45

    L + 2W = 19

    L = 19-2W

    substituting for L : -

    W (19-2W) = 45

    -2W^2 + 19W = 45

    2W^2 - 19W + 45 = 0

    W = 5 or 4.5

    If W = 5, L = 9

    If W = 4.5, L = 10

    So there are 2 possible answers.
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