document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322751>Question 322751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular field is to be enclosed by a fence and then divded into two small plots by a fence parallel to one of the sides. If thre is 1800 m of fencing available, find the dimensions of the field that will give the maximum area. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231104 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=231104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular field is to be enclosed by a fence and  Ithen divided into two<BR>\n" );
document.write( " small plots by a fence parallel to one of the sides. <BR>\n" );
document.write( "If there is 1800 m of fencing available, find the dimensions of the field that will give the maximum area.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2L + 3W = 1800<BR>\n" );
document.write( "2L = 1800-3W<BR>\n" );
document.write( "Divide both sides by 2<BR>\n" );
document.write( "L = (900-1.5W)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area = L * W<BR>\n" );
document.write( "Replace L with (900-1.5W)<BR>\n" );
document.write( "A = W(900-1.5W)<BR>\n" );
document.write( "A = -1.5W^2 + 900W<BR>\n" );
document.write( "Find the axis of symmetry, x=-b/(2a); in this equation: a=-1.5, b=900<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-900%29%2F%282%2A-1.5%29 ALIGN=MIDDLE  ALT=\"%28-900%29%2F%282%2A-1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-900%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"%28-900%29%2F%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = +300 m is the width for max area<BR>\n" );
document.write( "then<BR>\n" );
document.write( "L = 900 - 1.5(300)<BR>\n" );
document.write( "L = 450 m is the length<BR>\n" );
document.write( "and<BR>\n" );
document.write( "300 * 450 = 135,000 sq/m is max area </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );