SOLUTION: Will you please help me on this: Find the maximum area of a rectangle with a perimeter of 24? I tried the trial-and error method, but I didn't really know which numbers to try.

SOLUTION: Will you please help me on this: Find the maximum area of a rectangle with a perimeter of 24? I tried the trial-and error method, but I didn't really know which numbers to try.

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Question 404029: Will you please help me on this: Find the maximum area of a rectangle with a perimeter of 24?
I tried the trial-and error method, but I didn't really know which numbers to try.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The optimal area occurs when the rectangle is a square (there are several ways to prove this, including using a quadratic, calculus, or the AM-GM inequality). Thus, each side length is 6 and the area is 36.
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