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13 November, 22:56

Margaret is planning a rectangular garden. Its length is 4 feet less than twice its width. Its area is 170ft^2. what are the dimensions of the garden?.

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  1. 13 November, 23:16
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    If you would like to know the dimensions of the garden, you can calculate this using the following steps:

    length ... (2 * x - 4) feet

    width ... x feet

    area ... 170 ft^2

    area = length * width

    170 = (2 * x - 4) * x

    170 = 2 * x * x - 4 * x

    170 = 2 * x^2 - 4 * x

    0 = 2 * x^2 - 4 * x - 170 / 2

    0 = x^2 - 2 * x - 85

    1. x = 1 - sqrt (86) = - 8.27

    2. x = 1 + sqrt (86) = 10.27

    length: 2 * x - 4 = 2 * 10.27 - 4 = 16.54 feet

    width: x = 10.27 feet

    The dimensions of the garden are 16.54 feet and 10.27 feet.
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