document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=794816>Question 794816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?<BR>\n" );
document.write( "Quadratic functions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480755 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=480755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Width = x feet<BR>\n" );
document.write( "Length = 200 - 2x<BR>\n" );
document.write( "Area = x(200 - 2x)<BR>\n" );
document.write( "Area(x)= 200x - 2x^2<BR>\n" );
document.write( "Area'(x) = 200 - 4x<BR>\n" );
document.write( "A(x) = 0<BR>\n" );
document.write( "200 - 4x = 0<BR>\n" );
document.write( "-4x = -200<BR>\n" );
document.write( " x = 50<BR>\n" );
document.write( "Using Nature Table:<BR>\n" );
document.write( " ................ -     50    +<BR>\n" );
document.write( "200 - 4x... +     0     -<BR>\n" );
document.write( "So, x = 50 feet is a maximum.<BR>\n" );
document.write( "Width = 50 feet<BR>\n" );
document.write( "Length = 100 feet<BR>\n" );
document.write( "Area = 50*100 = 5000 feet.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );