algebra

The length of a rectangle is 2 inches more than 4 times the width. If the area of the rectangle is 20 square inches, find the length and the width.

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  1. width ---- x
    length ---- 4x+2
    x(4x+2) = 20
    4x^2 + 2x - 20 = 0
    2x^2 + x - 10 = 0
    (x-2)(2x+5) = 0
    x = 2 or x = -5/2, reject that negative

    the width is 2 inches, and the length is 10 inches

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