SOLUTION: The area of a square, expressed in square centimeters, is 165 cm greater than its perimeter, expressed in centimeters. What is the length of a side of the square?

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Question 245212: The area of a square, expressed in square centimeters, is 165 cm greater than its perimeter, expressed in centimeters. What is the length of a side of the square?
Answer by solver91311(24713) About Me  (Show Source):
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The area of a square is the measure of a side squared. The perimeter of a square is 4 times the measure of a side, so:

Let represent the measure of a side, then:




or, in standard form:



Solve the factorable quadratic. Discard the negative root. The positive root is the measure of the side of the described square.


John