document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950156>Question 950156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Mr. Sanchez has 16 feet of fencing to put around a rectangular garden.he wants the garden to have the greatest possible area. How long should the sides of the garden be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580140 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=580140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Mr. Sanchez has 16 feet of fencing to put around a rectangular garden.he wants the garden to have the greatest possible area. How long should the sides of the garden be?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=width of garden<BR>\n" );
document.write( "let y=length of garden<BR>\n" );
document.write( "2x+2y=perimeter=16<BR>\n" );
document.write( "2y=16-2x<BR>\n" );
document.write( "y=8-x<BR>\n" );
document.write( "area=x*y=x(8-x)=8x-x^2<BR>\n" );
document.write( "area=-x^2+8x<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "A(x)=-(x^2-8x+16)+16<BR>\n" );
document.write( "A(x)=-(x-4)^2+16<BR>\n" );
document.write( "this is an  equation of a parabola that opens down with vertex at (4,16)<BR>\n" );
document.write( "maximum area of the garden of 16 sq ft occurs when:<BR>\n" );
document.write( "width=4 ft<BR>\n" );
document.write( "length=4 ft<BR>\n" );
document.write( "a square<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );