SOLUTION: The area of a rectangle is 54 centimeters squared. The side lengths are 2x+1 and x+2. What is the measure of each side?

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Question 491654: The area of a rectangle is 54 centimeters squared. The side lengths are 2x+1 and x+2. What is the measure of each side?
Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
(2x + 1)(x + 2) = 54
2x^2 + 5x + 2 = 54
2x^2 + 5x - 52 = 0
(x + 13)(x - 4) = 0
x = 4
=============================
2x + 1 = 9 cubic cm
x + 2 = 6 cubic cm
9 * 6 = 54 cubic cm
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Cleomenius.

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