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16 November, 03:55

The perimeter of a rectangle is 500 feet. The ratio of the base and height is 3:2. What is the measure of the height?

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  1. 16 November, 05:08
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    height=100feet

    Step-by-step explanation:

    perimeter of a rectangle=p=500 feet

    p=2a+2b equation 1

    a=height

    b=base

    we have: b/a=3/2

    so a = (2*b) / 3

    in equation 1 we have:

    500=2 * ((2*b) / 3) + 2*b

    so we have

    500 = (4*b) / 3 + 2*b

    500 = (4b+6b) / 3

    500 = (10b) / 3

    500*3=10b

    b = (500*3) / 10

    b=150 feet = base

    so

    a = (2*150) / 3=100 feet = height
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