document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172502>Question 172502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you have a 1200 foot roll of fencing and a large field. You want to make 2 paddlocks by splitting a rectangle enclosure  in half. What are the dimensions of the largest such enclosure </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127423 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w+%2B+2l+=+1200 ALIGN=MIDDLE  ALT=\"3w+%2B+2l+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2l+=+1200+-+3w ALIGN=MIDDLE  ALT=\"2l+=+1200+-+3w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+%281200+-+3w%29%2F2 ALIGN=MIDDLE  ALT=\"l+=+%281200+-+3w%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+w%2Al ALIGN=MIDDLE  ALT=\"A+=+w%2Al\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+w%2A%281200+-+3w%29+%2F+2 ALIGN=MIDDLE  ALT=\"A+=+w%2A%281200+-+3w%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+600w+-+%283%2F2%29%2Aw%5E2 ALIGN=MIDDLE  ALT=\"A+=+600w+-+%283%2F2%29%2Aw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If I set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=0 ALIGN=MIDDLE  ALT=\"A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the roots, the <BR>\n" );
document.write( "maximum will be at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Bmax%5D+=+-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"w%5Bmax%5D+=+-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which<BR>\n" );
document.write( "is exactly 1/2 way between the roots<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F2%29%2Aw%5E2+%2B+600w+=+0 ALIGN=MIDDLE  ALT=\"-%283%2F2%29%2Aw%5E2+%2B+600w+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b+=+-600 ALIGN=MIDDLE  ALT=\"-b+=+-600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+=+-3 ALIGN=MIDDLE  ALT=\"2a+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F%282a%29+=+-600%2F-3 ALIGN=MIDDLE  ALT=\"-b%2F%282a%29+=+-600%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-600%2F-3+=+200 ALIGN=MIDDLE  ALT=\"-600%2F-3+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+200 ALIGN=MIDDLE  ALT=\"w+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w+%2B+2l+=+1200 ALIGN=MIDDLE  ALT=\"3w+%2B+2l+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A200+%2B+2l+=+1200 ALIGN=MIDDLE  ALT=\"3%2A200+%2B+2l+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2l+=+600 ALIGN=MIDDLE  ALT=\"2l+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+300 ALIGN=MIDDLE  ALT=\"l+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The dimensions of the largest enclosure will<BR>\n" );
document.write( "be when width = 200 ft and length = 300 ft<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w+%2B+2l+=+1200 ALIGN=MIDDLE  ALT=\"3w+%2B+2l+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A200+%2B+2%2A300+=+1200 ALIGN=MIDDLE  ALT=\"3%2A200+%2B+2%2A300+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+%2B+600+=+1200 ALIGN=MIDDLE  ALT=\"600+%2B+600+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200+=+1200 ALIGN=MIDDLE  ALT=\"1200+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+w%2Al ALIGN=MIDDLE  ALT=\"A+=+w%2Al\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+200%2A300 ALIGN=MIDDLE  ALT=\"A+=+200%2A300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+60000 ALIGN=MIDDLE  ALT=\"A+=+60000\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft2<BR>\n" );
document.write( "To see if this is max area change  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "slightly but still make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w+%2B+2l+=+1200 ALIGN=MIDDLE  ALT=\"3w+%2B+2l+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" > true, like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+200.1 ALIGN=MIDDLE  ALT=\"w+=+200.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+299.85 ALIGN=MIDDLE  ALT=\"l+=+299.85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+299.85%2A200.1 ALIGN=MIDDLE  ALT=\"A+=+299.85%2A200.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+59999.985 ALIGN=MIDDLE  ALT=\"A+=+59999.985\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It ends up being a little less as it should\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );