document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760995>Question 760995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer needs to build a fence with 2 equal size pens to separate the sheep and pigs. The farmer will build a rectangular outer fence plus a dividing fence down the middle parallel to two sides. If she has a total of 200 feet of fencing, find the dimensions that will enclose the maximum total area.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462981 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=462981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x for length of the whole area, and y for the width of the whole area.  Choose y longer than x, and so take the divider parallel to x.  \r<BR>\n" );
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document.write( "Accounting for fencing material, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=200 ALIGN=MIDDLE  ALT=\"3x%2B2y=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Accounting for area, <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;\" >\r<BR>\n" );
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document.write( "Perimeter equation gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=200-3x ALIGN=MIDDLE  ALT=\"2y=200-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100-%283%2F2%29x ALIGN=MIDDLE  ALT=\"y=100-%283%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into area equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%28100-%283%2F2%29x%29 ALIGN=MIDDLE  ALT=\"A=x%28100-%283%2F2%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=100x-%283%2F2%29x%5E2 ALIGN=MIDDLE  ALT=\"A=100x-%283%2F2%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A looks like a quadratic equation as a function, and indicates a parabola with a maximum ( openings downward).  Finding the zeros is very easy, only requiring back one step in deriving A(x).  The maximum A for AREA will occur directly in the middle of the two zeros of A(x).\r<BR>\n" );
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document.write( "ZEROS of A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%28100-%283%2F2%29x%29 ALIGN=MIDDLE  ALT=\"0=x%28100-%283%2F2%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Either x=0<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "100-(3/2)x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=3x%2F2 ALIGN=MIDDLE  ALT=\"100=3x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A2%2F3=x ALIGN=MIDDLE  ALT=\"100%2A2%2F3=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=200%2F3 ALIGN=MIDDLE  ALT=\"x=200%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Maximum Area occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280%2B200%2F3%29%2F2=highlight%28100%2F3=x%29 ALIGN=MIDDLE  ALT=\"%280%2B200%2F3%29%2F2=highlight%28100%2F3=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find y,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100-%283%2F2%29x ALIGN=MIDDLE  ALT=\"y=100-%283%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100-%283%2F2%29%28100%2F3%29=100-3%2A100%2F%282%2A3%29=100-100%2F2 ALIGN=MIDDLE  ALT=\"y=100-%283%2F2%29%28100%2F3%29=100-3%2A100%2F%282%2A3%29=100-100%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=50%29 ALIGN=MIDDLE  ALT=\"highlight%28y=50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "----------------------------------More about the area-----------<BR>\n" );
document.write( "This area maximum is:<BR>\n" );
document.write( "A(100/3)=100(100/3)-(3/2)(100/3)^2<BR>\n" );
document.write( "A=10000/3-(3/2)*10000/9<BR>\n" );
document.write( "A=1000/3-3*10000/18<BR>\n" );
document.write( "A=6*10000/18-3*10000/18<BR>\n" );
document.write( "A=3*10000/(3*6)=10000/6<BR>\n" );
document.write( "A=1667 square feet </SPAN>\n" );
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