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16 June, 19:25

The width of a rectangle is 5 inches less than twice the length. The area of the rectangle is 700 square inches. What is the length of the rectangle?

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  1. 16 June, 19:55
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    To calculate the length of the rectangle we let the length be x in, let width be

    (2x-5) inches

    The area will be given by:

    A=length*width

    A=x (2x-5)

    but

    A=700 in²

    thus

    700=x (2x-5)

    700=2x²-5x

    this can be written in quadratic form as:

    2x²-5x-700=0

    solving the quadratic we get:

    x=20 or x=-35/2

    since the length cannot be negative then:

    x=20 in

    thus the width will be:

    2*20-5

    =40-5=35 inches
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