document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447227>Question 447227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Well, I have a math problem that say,\" Yoy have 180 feet of fence to make a rectangular pen. One side of the pen will be against a 200 foot wall, so it requires no fence. What are the dimensions of the rectangle with the maximum area?\" and i would like for you to help me on it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307961 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=307961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have 180 feet of fence to make a rectangular pen.<BR>\n" );
document.write( " One side of the pen will be against a 200 foot wall, so it requires no fence.<BR>\n" );
document.write( " What are the dimensions of the rectangle with the maximum area?\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The perimeter equation for a 3 sided pen<BR>\n" );
document.write( "L + 2W = 180<BR>\n" );
document.write( "L = (180-2W)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The area equation:<BR>\n" );
document.write( "A = L*W<BR>\n" );
document.write( "replace L with (180-2W)<BR>\n" );
document.write( "A = W(180-2W)<BR>\n" );
document.write( "A = -2W^2 + 180W<BR>\n" );
document.write( "Max area occurs at the axis of symmetry, formula for that: x=-b/(2*a)<BR>\n" );
document.write( "In this equation<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-180%29%2F%282%2A-2%29 ALIGN=MIDDLE  ALT=\"%28-180%29%2F%282%2A-2%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=%28-180%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"%28-180%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = +45 ft is the width for the max area<BR>\n" );
document.write( "Find the Length<BR>\n" );
document.write( "L = 180 - 2(45)<BR>\n" );
document.write( "L = 180 - 90<BR>\n" );
document.write( "L = 90 ft is the length for max area<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actual area 45*90 = 4050 sq/ft\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );