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12 March, 02:26

The legth of a rectangle is three times its width. if the width is diminished by 1 m and the legth increased by 3 m, the area will be 72 sq m. find the dimensions of the original rectangle?

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  1. 12 March, 06:03
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    Let width of rectangle be "x"

    L = 3x W=x

    if width is diminished by 1 that means new width = (x-1)

    similarly the new length would be (3x+3)

    hence (x-1) * (3x+3) = 72

    (3x^2) - 3=72

    3x^2=75

    x^2=25

    x = + / - 5

    reject - 5 as you cant have negative length

    hence x=5

    so original dimensions of rectangle is

    L = 15m W=5m
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