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22 December, 18:54

The perimeter of a rectangle is 132 feet and its area is 1080 square feet. find the dimensions

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  1. 22 December, 19:50
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    2x + 2y=132

    xy=1080

    Let x=1080/y

    2160/y + 2y=132

    2y^2 - 132y + 2160=0

    2 (y^2-66y+1080) = 0

    2 (y-30) (y-33) = 0

    y=30 or y=33

    (36,30) or (30,36)

    So ... x=30,36 and y=36,30. Either way, the answer is 30 by 36 or 36 by 30.
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