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20 January, 16:09

The length of a rectangle is 5 inches more than twice a number. The width is 4 inches less than the same number. If the area of the rectangle is 15, find the number.

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  1. 20 January, 16:19
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    n = 5, n = - 7/2

    Step-by-step explanation:

    2n + 5 = l

    n - 4 = w

    A = l * w = 15

    (2n + 5) (n-4) = 15

    2n^2 - 8n + 5n - 20 = 15

    2n^2 - 3n - 35 = 0

    (2n + 7) (n - 5) = 0

    2n + 7 = 0 or n - 5 = 0

    n = - 7/2 or n = 5
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