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14 November, 11:16

The area of a rectangle is 99 in². The length of the rectangle is 2 in. longer than the width.

What is the width of the rectangle?

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Answers (1)
  1. 14 November, 12:30
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    A = L * W

    A = 99

    L = W + 2

    99 = W (W + 2)

    99 = W^2 + 2W

    W^2 + 2W - 99 = 0

    (W - 9) (W + 11) = 0

    W - 9 = 0

    W = 9

    W + 11 = 0

    W = - 11 (extraneous solution ... this one does not work)

    L = W + 2

    L = 9 + 2

    L = 11

    check ...

    A = L * W

    99 = 11 * 9

    99 = 99 (correct)

    so the length (L) = 11 and the width (W) = 9
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