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The width of a rectangle is 18 in. less than its length. If the area of the rectangle is 1440 in^2, find the dimensions of the rectangle.
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30in x 48in = 1440in^2
If l is the length, then the width is (l - 18) Area of a rectangle = lw A = l ((l - 18)) 1440 = L^2 - 18L L^2 - 18L = 1440 L^2 - 18L - 1440 = 0 (L - 48) (L + 30) = 0 L = 48 or L = -30 L = 48 and L - 18 = 30 48 by 30
additonal: we can't have -30 as the value for length for we're dealing with length and measure, there is no negative length in real application. .
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