SOLUTION: among all rectangles that have a perimeter of 184, find the dimensions of one whose area is the largest

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Question 661268: among all rectangles that have a perimeter of 184, find the dimensions of one whose area is the largest
Answer by josmiceli(19441) About Me  (Show Source):
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It turns out that the square with a certain perimeter has
the maximum are
+184%2F4+=+46+ is the side of the square with perimeter
of 184
+46%5E2+=+2116+ is the area of the square
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To prove this is the maximum area, make the square
slightly rectangular
+47+%2B+47+%2B+45+%2B+45+=+184+ is slightly rectangular
+47%2A45+=+2115+ this area is less than the square