document.write( "Question 460980: Help please.\r
\n" ); document.write( "\n" ); document.write( "A carpenter is building a rectangular room with a fixed perimeter of 160ft. What dimensions would yield the maximum area. What is the maximum area?
\n" ); document.write( "The length that would yield the maximum area is ___________feet, the width is___
\n" ); document.write( "The maximum area is ______sq feet\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #316185 by JimboP1977(311)\"\" \"About 
You can put this solution on YOUR website!
2x+2y=160\r
\n" ); document.write( "\n" ); document.write( "160-2x = 2y
\n" ); document.write( "80-x = y\r
\n" ); document.write( "\n" ); document.write( "xy=A\r
\n" ); document.write( "\n" ); document.write( "x(80-x)=A
\n" ); document.write( "80x-x^2=A\r
\n" ); document.write( "\n" ); document.write( "Find gradient when zero ie the peak.\r
\n" ); document.write( "\n" ); document.write( "80-2x=0\r
\n" ); document.write( "\n" ); document.write( "x=80/2
\n" ); document.write( "x=40\r
\n" ); document.write( "\n" ); document.write( "So maximum area is 80*40-40^2 = 1600 square feet.\r
\n" ); document.write( "\n" ); document.write( "Width is 1600/40 = 40\r
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