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 \n" );
document.write( "
| Algebra.Com's Answer #316185 by JimboP1977(311)     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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |