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7 December, 10:34

The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21 ft^2. Find the dimensions of the rectangle.

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  1. 7 December, 13:29
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    Let the width be w, then length = 2w - 1

    Area = length times width = w (2w - 1) = 21.

    Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0

    Solving the quadratic equation gives that w = 3.5.

    Therefore, width is 3.5 ft and length is 2 (3.5) - 1 = 6 ft.
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