document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475831>Question 475831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A developer wants to enclose a rectangular grassy lot that borders a city street for parking.  If the developer has 336 feet of fencing and does not fence the side along the street, what is the largest 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 #326297 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=326297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that the developer fences three sides of a rectangle, we can define dimensions x and y such that\r<BR>\n" );
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document.write( "2x + y = 336\r<BR>\n" );
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document.write( "Area = xy\r<BR>\n" );
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document.write( "By the AM-GM inequality (Google this if you don't know what it is),\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{2x + y}{2} \ge \sqrt{2xy}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{336}{2} \ge \sqrt{2xy}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 168 \ge \sqrt{2xy}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 168^2 \ge 2xy \Rightarrow xy \le \frac{168^2}{2} \Rightarrow Area \le 14112\">\r<BR>\n" );
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document.write( "The largest possible area is 14112 ft^2, which occurs in the equality case (2x = y). </SPAN>\n" );
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