document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529691>Question 529691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An athletic club has 225 feet of fencing to enclose a tennis court. What quadratic function can be used to find the maximum area of the tennis court? Find the maximum area and the lengths of the resulting fence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349671 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=349671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An athletic club has 225 feet of fencing to enclose a tennis court. What quadratic function can be used to find the maximum area of the tennis court? Find the maximum area and the lengths of the resulting fence.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=length<BR>\n" );
document.write( "let y=width<BR>\n" );
document.write( "2x+2y=perimeter=225<BR>\n" );
document.write( "2y=225-2x<BR>\n" );
document.write( "y=(225-2x)/2=112.5-x<BR>\n" );
document.write( "area=x*y=x(112.5-x)=(112.5x-x^2)<BR>\n" );
document.write( "area=-x^2+112.5x<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "area=-(x^2+112.5x+3164.06)+3164.06<BR>\n" );
document.write( "area=-(x+56.25)^2+3164.06<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "area&#8776;3164 sq ft<BR>\n" );
document.write( "length&#8776;56.25 ft<BR>\n" );
document.write( "width=112.5-56.25&#8776;56.25 ft </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );