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23 April, 13:55

the length of a rectangle is 8 feet more its width. the area of the rectangle is 84 square feet find its length and width

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  1. 23 April, 17:36
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    length=8+w ... 1

    area=84square feet ... 2

    area of rectangle = length x width

    area = (8+w) x W

    area=8w+w^2

    84=8w+w^2

    w^2+8w + (4^2) = 84 + (4^2)

    (w+4) ^2=84+16

    (w+4) ^2=100

    √ (w+4) ^2=√100

    w+4=±100

    w+4=100 or w+4=-100

    w=96 or w=-104

    the answer is 96
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