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8 January, 02:20

Find the dimensions of a rectangle whose width is 7 miles less than its length and whose areas is 78 square miles.

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  1. 8 January, 02:31
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    W = L - 7

    WL = 78

    (L-7) L = 78

    L^2 - 7L - 78 = 0

    Factorize: (L-13) (L+6) = 0

    L = 13 or - 6

    A length cannot be negative, so the length must be 13 miles.

    The width is 13-7 = 6 miles.
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