document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441176>Question 441176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.\r<BR>\n" );
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document.write( "a.) Find a function that models the total area of the four pens.\r<BR>\n" );
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document.write( "b.) Find the largest possible total area of four pens.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304760 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=304760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rancher with 750 ft of fencing wants to enclose a rectangular area and then<BR>\n" );
document.write( " divide it into four pens with fencing parallel to one side of the rectangle.<BR>\n" );
document.write( ";<BR>\n" );
document.write( "a.) Find a function that models the total area of the four pens.<BR>\n" );
document.write( "The perimeter for this<BR>\n" );
document.write( "2L + 5W = 750<BR>\n" );
document.write( "2L = (750-5W)<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28750-5W%29%2F2 ALIGN=MIDDLE  ALT=\"%28750-5W%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The Area equation<BR>\n" );
document.write( "A = L * W<BR>\n" );
document.write( "Replace L<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28750-5W%29%2F2 ALIGN=MIDDLE  ALT=\"%28750-5W%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*W<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5W%5E2%2B750W%29%2F2 ALIGN=MIDDLE  ALT=\"%28-5W%5E2%2B750W%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=f%28W%29+=+-2.5W%5E2+%2B+375W ALIGN=MIDDLE  ALT=\"f%28W%29+=+-2.5W%5E2+%2B+375W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b.) Find the largest possible total area of four pens. <BR>\n" );
document.write( "Max area will occur at axis of symmetry, formula for that x = -b/(2a)<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-375%29%2F%282-2.5%29 ALIGN=MIDDLE  ALT=\"%28-375%29%2F%282-2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = 75 ft for max area<BR>\n" );
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document.write( "Find the area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28W%29+=+-2.5%2875%5E2%29+%2B+375%2875%29 ALIGN=MIDDLE  ALT=\"f%28W%29+=+-2.5%2875%5E2%29+%2B+375%2875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28W%29+=+-14062.5+%2B+28125 ALIGN=MIDDLE  ALT=\"f%28W%29+=+-14062.5+%2B+28125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A = +14,062.5 sq/ft max area\r<BR>\n" );
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document.write( " </SPAN>\n" );
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