document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137333>Question 137333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem. You have 180 feet of fencing to enclose a rectangular region. What is the maximum area.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100468 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=100468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The max area of a rectangle is always a square. So the sides should be 180/4.\r<BR>\n" );
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document.write( "Now, how do you find that out?<BR>\n" );
document.write( "Let L be the length. <BR>\n" );
document.write( "We know the perimeter of a rectangle is 2*length + 2 * width.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+=+2L+%2B+2W ALIGN=MIDDLE  ALT=\"180+=+2L+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+-+L+=+W+ ALIGN=MIDDLE  ALT=\"90+-+L+=+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area = Length * width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2AW ALIGN=MIDDLE  ALT=\"L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L+%2A+%2890-L%29 ALIGN=MIDDLE  ALT=\"A+=+L+%2A+%2890-L%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+=+90L+-+L%5E2 ALIGN=MIDDLE  ALT=\"A+=+90L+-+L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can plot that using your calculator or find the zeros and then know that the shape is such that halfway between the zeros is the max </SPAN>\n" );
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