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11 September, 15:31

The length of a rectangle is 7 inches more than its width. If the perimeter of the rectangle is 66 inches, find the dimensions.

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  1. 11 September, 15:49
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    13 by 20 inches

    Step-by-step explanation:

    Represent the quantities as follows:

    P = 2W + 2L

    L = W + 7

    Then P = 2W + 2 (W + 7), or P = 4W + 14

    and this formula has the value 66 inches.

    Thus, P = 66 inches = 4W + 14 inches, or

    52 inches = 4W

    Dividing both sides by 4, we get W = 13 inches.

    The width is 13 inches and the length is (13 + 7) inches, or 20 inches.
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