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3 October, 06:19

A rectangular garden has a length 8 more than the width. there is a 4 foot sidewalk around the outside of the garden. the area of the side walk is 320. what is the dimensions of the rectangular garden?

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  1. 3 October, 06:39
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    The length of a rectangular garden is 8 feet longer than the width.

    L = W + 4

    Area of garden: W (W + 8)

    Area of sidewalk Plus garden: (W + 8) (W + 16)

    Subtract the areas to get the area of the sidewalk

    (W + 8) (W + 16) - W (W + 8) = 320

    W^2 + 24W + 128 - W^2 - 8W = 320

    16W = 192

    W = 12

    So L = 12 + 8 = 20
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