SOLUTION: the perimeter of a rectangle is 60 cm and its area is 216 sq cm. Find its dimension.

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Question 500340: the perimeter of a rectangle is 60 cm and its area is 216 sq cm. Find its dimension.
Answer by solver91311(24713) About Me  (Show Source):
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The perimeter of a rectangle is given by

Since you are given a perimeter of 60 cm:





The area of a rectangle is given by

Since you are given an area of 216 cm² you can write:



But from the previous steps you can substitute for :



A little algebra music, Sammy:



Solve the quadratic. The two roots will be your dimensions.

John

My calculator said it, I believe it, that settles it
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