document.write( "Question 52433: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. \r
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document.write( " Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex form to find the maximum area.\r
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document.write( "Answer: \r
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Algebra.Com's Answer #35012 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! THE MAXIMUM AREA FOR A RECTANGLE IS A SPECIAL RECTANGLE CALLED A SQUARE. THUS \n" ); document.write( "300=X^2 OR X=SQRT300 OR X=17.320508 FEET\r \n" ); document.write( "\n" ); document.write( "PROOF 17.320508*17.320508=300 OR 300=300 \n" ); document.write( " \n" ); document.write( " |