document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845902>Question 845902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer needs to build a rectangular corral for his animals. He has 200 yards of fencing available. He needs to make 4 pens. What is the largest corral he can create? (Remember the pens also count as a part of the perimeter, not just the outside of the corral) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509594 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=509594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer needs to build a rectangular corral for his animals.<BR>\n" );
document.write( " He has 200 yards of fencing available.<BR>\n" );
document.write( " He needs to make 4 pens. <BR>\n" );
document.write( " What is the largest corral he can create?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To make 4 pens he needs 4 times the width of the corral, therefore:<BR>\n" );
document.write( "2L + 4W = 200<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "L + 2W = 100<BR>\n" );
document.write( "L = (100-2W)<BR>\n" );
document.write( "Total area<BR>\n" );
document.write( "A = L * W <BR>\n" );
document.write( "replace L with (100-2W)<BR>\n" );
document.write( "A = (100-2W)*W<BR>\n" );
document.write( "A = -2W^2 + 100W<BR>\n" );
document.write( "A quadratic equation, max area occurs at the axis of symmetry; x = -b/(2a)<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-100%29%2F%282%2A-2%29 ALIGN=MIDDLE  ALT=\"%28-100%29%2F%282%2A-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = +25 yds is the width that gives max area<BR>\n" );
document.write( "Find Length<BR>\n" );
document.write( "L = 100 - 2(25)<BR>\n" );
document.write( "L = 50 yds length for max area<BR>\n" );
document.write( "Find max area<BR>\n" );
document.write( "50 * 25 = 1250 sq/yds </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );