document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137646>Question 1137646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer wants to create four rectangular corral's to separate his livestock. He has 750m of fencing to create the corrals as seen below. If the rancher wants the total area to be a maximum, what dimensions should be used to make the corral's? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755493 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=755493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer wants to create four rectangular corral's to separate his livestock.<BR>\n" );
document.write( " He has 750m of fencing to create the corrals as seen below.<BR>\n" );
document.write( " If the rancher wants the total area to be a maximum, what dimensions should be used to make the corral's?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let L = the overall length of the corral<BR>\n" );
document.write( "let w = the width of which there will be 5, in order to have 4 corrals <BR>\n" );
document.write( ":<BR>\n" );
document.write( "L + 5w = 750<BR>\n" );
document.write( "arranged for substitution<BR>\n" );
document.write( "L = -5w + 750<BR>\n" );
document.write( "Area <BR>\n" );
document.write( "A = L*w<BR>\n" );
document.write( "replace L with (-5w+750)<BR>\n" );
document.write( "A = (-5w+750)*w<BR>\n" );
document.write( "A = -5w^2 + 750w, a quadratic equation where, a=-5,b=750<BR>\n" );
document.write( "Max area occurs on the axis of symmetry, find that w = -b/(2a)<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-750%29%2F%282%2A-5%29 ALIGN=MIDDLE  ALT=\"%28-750%29%2F%282%2A-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = +75 meters is the width for max area<BR>\n" );
document.write( "then<BR>\n" );
document.write( "L = -5(75) = 750<BR>\n" );
document.write( "L = -375 + 750<BR>\n" );
document.write( "L = 375 meters is the length<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );