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7 April, 06:04

The length of a rectangular driveway is four feet less than five times the width. The area is 672 feet squared. Find the width and length of the driveway

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  1. 7 April, 08:39
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    Answer: length of the drive way = 56 feet

    Width of the driveway = 12 feet

    Step-by-step explanation:

    The rectangular driveway has two equal lengths and two equal widths. The area of the driveway is expressed as

    length, l * width, w

    The area is 672 feet squared. It means that

    L*W = 672

    The length of the rectangular driveway is four feet less than five times the width. It means that

    L = 5W - 4

    Substituting L = 5W - 4 into LW = 672

    W (5W - 4) = 672

    5W^2 - 4W - 672 = 0

    5W^2 + 56W - 60W - 672 = 0

    W (5W + 56) - 12 (5W + 56) = 0

    (W - 12) (5W + 56) = 0

    W - 12 = 0 or 5W + 56 = 0

    W = 12 or 5W = - 56

    W = 12 or W = - 56/5

    The Width cannot be negative, so

    W = 12

    LW = 672

    12L = 672

    L = 672/12 = 56
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