document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296318>Question 296318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular field is to be enclosed with a fence. One side of the field is against an existing fence, so that no fence is needed on that side. If material for the fence cost $2 per foot for the two ends and $4 per foot for the side parallel to the existing fence, find the dimensions of the field of the largest area that can be enclosed for 1,000.\r<BR>\n" );
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document.write( "Thanks in Advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213554 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=213554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular field is to be enclosed with a fence.<BR>\n" );
document.write( " One side of the field is against an existing fence, so that no fence is needed on that side.<BR>\n" );
document.write( " If material for the fence cost $2 per foot for the two ends and $4 per foot for<BR>\n" );
document.write( " the side parallel to the existing fence, find the dimensions of the field of<BR>\n" );
document.write( " the largest area that can be enclosed for 1,000.<BR>\n" );
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document.write( "Let L = length of the $2 sides<BR>\n" );
document.write( "Let W = length of the $4 side<BR>\n" );
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document.write( "2(2L) + 4W = 1000<BR>\n" );
document.write( "4L + 4W = 1000<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "L + W = 250<BR>\n" );
document.write( "L = (250-W)<BR>\n" );
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document.write( "Area:<BR>\n" );
document.write( "A = L*W<BR>\n" );
document.write( "Replace L with (250-W)<BR>\n" );
document.write( "A = (250-W) * W<BR>\n" );
document.write( "A = -W^2 = 250W<BR>\n" );
document.write( "Find the axis of symmetry: a=-1; b=250, will give max area<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-250%29%2F%282%2A-1%29 ALIGN=MIDDLE  ALT=\"%28-250%29%2F%282%2A-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = +125 ft, length of $4 side<BR>\n" );
document.write( "then<BR>\n" );
document.write( "L = 250-125 = 125 ft, length of the $2 sides<BR>\n" );
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document.write( "Max area:  all three sides = 125 ft<BR>\n" );
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document.write( "Check 2(2*125) + 4(125) = $1000<BR>\n" );
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