document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966051>Question 966051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer would like to enclose a rectangular portion of his field using fences on all four sides. In addition, he must divide this rectangle into three smaller rectangular regions by building two more fences parallel to one of the rectangle's sides. If he only has 240 meters of fencing material to use, what is the maximum total area he can enclose? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590469 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Main outer dimensions of the rectangle, x and y.  Two fence portions are of y, and four fence portions are of x, so the total fencing to be 240 meters,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4y=240 ALIGN=MIDDLE  ALT=\"2x%2B4y=240\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=xy ALIGN=MIDDLE  ALT=\"A=xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for the whole outer rectangle.\r<BR>\n" );
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document.write( "Simplified, the fence length equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=120 ALIGN=MIDDLE  ALT=\"x%2B2y=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=120-2y ALIGN=MIDDLE  ALT=\"x=120-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Substituting, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28120-2y%29y ALIGN=MIDDLE  ALT=\"A=%28120-2y%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But if you just want to find the MAXMIUM for A, then this will be in the exact middle of the roots.\r<BR>\n" );
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document.write( "Roots:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28120-2y%29=A=0 ALIGN=MIDDLE  ALT=\"y%28120-2y%29=A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120-2y=0 ALIGN=MIDDLE  ALT=\"120-2y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=60 ALIGN=MIDDLE  ALT=\"y=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "The exact middle of 0 and 60 is 30.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=30%29 ALIGN=MIDDLE  ALT=\"highlight%28y=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the maximum area.]\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=120-2%2A30 ALIGN=MIDDLE  ALT=\"x=120-2%2A30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=120-60 ALIGN=MIDDLE  ALT=\"x=120-60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=60%29 ALIGN=MIDDLE  ALT=\"highlight%28x=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the maximum area.\r<BR>\n" );
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document.write( "The maximum area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2A30=highlight%281800%29 ALIGN=MIDDLE  ALT=\"60%2A30=highlight%281800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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