document.write( "Question 332439: a rectangular aea is to enclosed by a fence then divided down the middle by another piece of fence then divided by another piece of fence .if 3600 metres of fence is available ,find the maximum area that can be enclosed \n" ); document.write( "
Algebra.Com's Answer #238311 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a rectangular area is to enclosed by a fence then divided down the middle by \n" ); document.write( "another piece of fence then divided by another piece of fence . \n" ); document.write( "if 3600 metres of fence is available, find the maximum area that can be enclosed \n" ); document.write( ": \n" ); document.write( "From the description I see something like this \n" ); document.write( "______ \n" ); document.write( "|_|_|_|; 3 enclosed areas \n" ); document.write( ": \n" ); document.write( "2L + 4W = 3600 \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "L + 2W = 1800 \n" ); document.write( "L = (1800-2W) \n" ); document.write( ": \n" ); document.write( "A = L*W \n" ); document.write( "Replace L with (1800-2W) \n" ); document.write( "A = W(1800-2W) \n" ); document.write( "A quadratic equation \n" ); document.write( "A = -2W^2 + 1800W \n" ); document.write( "Max area occurs at axis of symmetry which is \n" ); document.write( "W = \n" ); document.write( "W = \n" ); document.write( "W = 450 m, width for max area \n" ); document.write( ": \n" ); document.write( "Find L \n" ); document.write( "L = 1800-2(450) \n" ); document.write( "L = 900 m, length for max area \n" ); document.write( ": \n" ); document.write( "Find max area \n" ); document.write( "900 * 450 = 405,000 sq/m is max area \n" ); document.write( " \n" ); document.write( " |