document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777841>Question 777841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a garden border is to be constructed from old railroad ties. The garden will be rectangular, but up against the side of a house, so only 3 side need this border. Suppose you have 48 feed of these railroad ties. Determine the maximum area of the garden </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474316 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two equal sized top and<BR>\n" );
document.write( "bottom border will equal 'x' apiece.<BR>\n" );
document.write( "The long side border will = 48 - 2x<BR>\n" );
document.write( "This is because we have taken the top and bottom <BR>\n" );
document.write( "borders out of the total.<BR>\n" );
document.write( "Area of a rectangle = length * width<BR>\n" );
document.write( "Area = (48 - 2x)* x<BR>\n" );
document.write( "Area(x) = 48x - 2x^2<BR>\n" );
document.write( "Differentiate<BR>\n" );
document.write( "Area'(x) = 48 - 4x<BR>\n" );
document.write( "Area'(x) = 0<BR>\n" );
document.write( "48 - 4x = 0<BR>\n" );
document.write( "-4x = -48<BR>\n" );
document.write( "4x = 48<BR>\n" );
document.write( "x = 12,<BR>\n" );
document.write( "Width = 12 feet<BR>\n" );
document.write( "Length = 24 feet<BR>\n" );
document.write( "Area = 288 feet^2<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );