Question

the ratio of the length to the width of a rectangle is 10:6. if the perimeter of the rectangle is 160 meters, find the measure of the width.

Answers

  1. Given:

    The ratio of the length to the width of a rectangle is 10:6.

    Perimeter = 160 meters

    To find:

    The measure of the width.

    Solution:

    Let the length and width of the rectangle be 10x and 6x respectively.

    Perimeter of a rectangle is

    P=2(l+w)

    where, l is length and w is width.

    Putting P=160, l=10x and w=6x, we get

    160=2(10x+6x)

    160=2(16x)

    160=32x

    Divide both sides by 32.

    \dfrac{160}{32}=x

    5=x

    Now,

    Width=6x

    Width=6(5)

    Width=30

    Therefore, the width of the rectangle is 30 meters.

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