document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628819>Question 628819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to find the answer to this question \"A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 300 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 #395866 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395866\">put this solution on YOUR website!</A><BR><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 300 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?\"<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Area = L*W<BR>\n" );
document.write( "L + 2W = 300 --> L = 300 - 2W<BR>\n" );
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document.write( "Area = W*(300 - 2W) = 300W - 2W^2<BR>\n" );
document.write( "Area = f(W) = -2W^2 + 300W<BR>\n" );
document.write( "That's a parabola whose vertex is the maximum<BR>\n" );
document.write( "The axis of symmetry is W = -b/2a = -300/(-4)<BR>\n" );
document.write( "W = 75 ft for max area<BR>\n" );
document.write( "L = 150 ft<BR>\n" );
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document.write( "Area = 75*150 = 11250 sq ft<BR>\n" );
document.write( " </SPAN>\n" );
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