document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085521>Question 1085521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A petting zoo is working to construct a rectangular pen. The pen will have 1 partition to create separate spaces for goats and pigs. The petting zoo has 1000 feet of fencing to use. <BR>\n" );
document.write( "a. Write an area function (A(x)) that gives the area of the enclosure as a function of the length of a partition, x.<BR>\n" );
document.write( "b. Find the dimensions of the pen that will provide the greatest area.<BR>\n" );
document.write( "c. What is the maximum area that can be enclosed?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699609 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39631)</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=699609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, a dimension of the whole pen<BR>\n" );
document.write( "y, other dimension of the whole pen\r<BR>\n" );
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document.write( "Total fence length 1000 feet, and choosing x as the length of the one partition piece, for making two enclosures,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x%2B2y=1000%2CA=xy%29 ALIGN=MIDDLE  ALT=\"system%283x%2B2y=1000%2CA=xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-3x%2B1000 ALIGN=MIDDLE  ALT=\"2y=-3x%2B1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281000-3x%29%2F2 ALIGN=MIDDLE  ALT=\"y=%281000-3x%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%281000-3x%29%2F2 ALIGN=MIDDLE  ALT=\"A=x%281000-3x%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=highlight_green%28A%28x%29=%281%2F2%29x%281000-3x%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A%28x%29=%281%2F2%29x%281000-3x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A(x) would be a parabolic function, with vertex as a maximum.  This x value for maximum will occur in the exact middle of the two zeros of A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%281000-3x%29=0 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%281000-3x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to find the two zeros.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%281000-3x%29=0 ALIGN=MIDDLE  ALT=\"x%281000-3x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000-3x=0 ALIGN=MIDDLE  ALT=\"1000-3x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000=3x ALIGN=MIDDLE  ALT=\"1000=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1000%2F3=333%261%2F3 ALIGN=MIDDLE  ALT=\"x=1000%2F3=333%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the other zero is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Maximum A will be at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1000%2F%282%2A3%29=highlight_green%28166%262%2F3%29 ALIGN=MIDDLE  ALT=\"x=1000%2F%282%2A3%29=highlight_green%28166%262%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, feet. </SPAN>\n" );
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