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5 April, 08:23

the length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.

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  1. 5 April, 12:18
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    translate each statement into mathematical language

    length is nine inches less than twice width. L = 2W - 9

    perimeter is 84 inches 2L + 2W = 84

    Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing

    2 (2W-9) + 2W = 84

    4W - 18 + 2W = 84

    (4W+2W) = 84+18

    6W = 102

    W = 102/6 = 51/3

    L = 2 (51/3) - 9

    = L = 17-9

    L=6
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