math

the width of a rectangle is two thirds its length. if the perimeter is 180 meters find the rectangle.

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  1. let the width of the rectangle be k.
    so the length of rectangle is (3/2)k.
    Perimeter of the rectangle=(3/2)k+(3/2)k+k+k
    =5k
    =180m
    so,
    5k=180
    k=36.
    thus,
    the width of the rectangle is 36m.
    For the length,
    Length=(3/2)(36)
    =54m

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  2. P = 2L + 2W

    180 = 2L + 2(2/3)L

    180 = 2 4/3L

    180 / (10/3) = L

    180 * (3/10) = L

    540/10 = L

    54 = L

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