Algebra.Com's Answer #103652 by solver91311(24713)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Given P = 22, so  \r
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document.write( "A little algebra gets us:  \r
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document.write( "So  \r
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document.write( "This equation graphs to a convex down parabola with vertex at  , telling us that the maximum area is achieved when the length of the side is  . The difficulty is that the problem asks for the maximum area of a rectangle with integer side lengths. The nearest integer smaller than is 5 and the nearest integer larger than is 6.\r
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document.write( "Substituting 5 for W in gives us  , so obviously substituting 6 for W in will give us  . Since 5 and 6 are the nearest integers to the side length that provides the maximum area (notice that all 4 sides would be making a square) these must be the required side lengths and the maximum area for integer side lengths is  \n" );
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