document.write( "Question 167972: IF the perimeter of a rectangle is 72m what is the largest area \n" ); document.write( "

Algebra.Com's Answer #123808 by josmiceli(19441) $\"\"$ $\"About$

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I happen to know that a rectagle of a
\n" ); document.write( "certain perimeter has the largest area
\n" ); document.write( "when it is a square. I'll prove it
\n" ); document.write( "If the perimeter is $\"72\"$ , and it is a
\n" ); document.write( "square, each side is $\"72%2F4+=+18\"$
\n" ); document.write( "The area of the square is $\"18%2A18+=+324\"$
\n" ); document.write( "Now suppose it's not a square, but slightly
\n" ); document.write( "off like 17.9 x 18.1 That still
\n" ); document.write( "makes the perimeter 72.
\n" ); document.write( " $\"17.9%2A18.1+=+323.99\"$ , so
\n" ); document.write( " $\"324\"$ is the maximum area which occurs when
\n" ); document.write( "the rectangle is an 18 x 18 square \n" ); document.write( "

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