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6 November, 16:23

The area of a bulletin board is 55 ft2. The length is nine feet less than four times the width. Find the length and the width, in feet, of the bulletin board.

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  1. 6 November, 20:17
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    The length and width are 11ft and 5ft respectively

    Step-by-step explanation:

    let the

    length = L

    Width = W

    Area = LW = 55

    The length is nine feet less than four times the width

    L = 4W - 9

    W (4W - 9) = 55

    4W^2 - 9W - 55 = 0

    4W^2 - 20W + 11W - 55 = 0

    4W (W - 5) + 11 (W - 5) = 0

    (W - 5) (4W + 11) = 0

    W - 5 = 0, 4W + 11=0

    W = 5 or - 11/4

    since the width cannot be negative, W = 5

    LW = 55

    L = 55/5

    L = 11

    The length and width are 11ft and 5ft respectively.
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