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) (Show Source): You can put this solution on YOUR website!
"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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