SOLUTION: a rectangle has an area of 432 square inches. The width of the rectangle is 3/4 times its length. find the dimensions of the rectangle.

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Question 402218: a rectangle has an area of 432 square inches. The width of the rectangle is 3/4 times its length. find the dimensions of the rectangle.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"a rectangle has an area of 432 square inches. The width of the rectangle is 3/4 times its length. find the dimensions of the rectangle."

x = length
3/4(x) = width

x[3/4(x)] = 432 {area = length x width}
3/4(x^2) = 432 {multiplied, add exponents when multiplying}
x^2 = 576 {divided both sides by 3/4, multiplied by reciprocal}
x = 24 in. length {took square root of both sides}
3/4x = 18 in. width {substituted 24 for x, into 3/4x}

18 in x 24 in are the dimensions of the rectangle

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