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