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20 January, 11:33

A rectangle has a length of 27 feet less than nine times its width. If the area of the rectangle is 972 find the length of the rectangle

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  1. 20 January, 13:50
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    (9x-27) x = 972

    9x²-27x = 972

    9x²-27x-972 = 0

    x²-3x-108 = 0

    (x+9) (x-12) = 0

    x = - 9 or x = 12

    Because x has to be >0, thus x = 12 therefore the length of the rectangle is 9 (12) - 27 = 81
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