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16 October, 07:19

the width of a rectangle is 7 feet less than it's length. if the area of the rectangle is 170 square feet, then find the length and width

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  1. 16 October, 08:31
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    let length = x

    width is 7 feet less than length

    width = x-7

    area = length * width

    area = x (x-7)

    170=x²-7x

    x²-7x-170=0

    x²-17x+10x-170=0

    x (x-17) + 10 (x-17) = 0

    (x-17) (x+10) = 0

    x=17 or x=-10

    since length cannot be negative so x=17

    and width = x-7 = 17-7=10

    length = 17 feet and width = 10 feet
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