document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330225>Question 330225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have a 500 foot roll of fencing, which is to form three sides of a rectangular enclosure (the fourth side is an existing brick wall). What are the dimensions of the enclosure with the maximum area?\r<BR>\n" );
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document.write( "Any  help would really be appreciated!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236650 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=W%2BL%2BW=2W%2BL=500 ALIGN=MIDDLE  ALT=\"P=W%2BL%2BW=2W%2BL=500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=LW ALIGN=MIDDLE  ALT=\"A=LW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 1, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=500-2W ALIGN=MIDDLE  ALT=\"L=500-2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28500-2W%29W=500W-2W%5E2 ALIGN=MIDDLE  ALT=\"A=%28500-2W%29W=500W-2W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find the maximum value of A, convert the equation to vertex form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28W%29=a%28W-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"A%28W%29=a%28W-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > where (h,k) is the vertex.<BR>\n" );
document.write( "THe value of k is the maximum value for the function A(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500W-2W%5E2=-2%28W%5E2-250W%29 ALIGN=MIDDLE  ALT=\"500W-2W%5E2=-2%28W%5E2-250W%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%28W%29=-2%28W%5E2-250W%2B15625%29%2B2%2815625%29 ALIGN=MIDDLE  ALT=\"A%28W%29=-2%28W%5E2-250W%2B15625%29%2B2%2815625%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%28W%29=-2%28W-125%29%5E2%2B31250 ALIGN=MIDDLE  ALT=\"A%28W%29=-2%28W-125%29%5E2%2B31250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the maximum area of 31250 ft^2 occurs when W=125. <BR>\n" );
document.write( "From eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2BL=500 ALIGN=MIDDLE  ALT=\"250%2BL=500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=250 ALIGN=MIDDLE  ALT=\"L=250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rectangle has the dimension of 125 ft wide by 250 ft long. </SPAN>\n" );
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