document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247981>Question 247981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a quadratic word problem. \r<BR>\n" );
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document.write( "A garden is to be laid out in such a way that 3 rectangular sections are created by fences. If the total amount of fencing available is 200 ft., find the dimensions that will maximize the total area.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194672 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=194672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A garden is to be laid out in such a way that 3 rectangular sections are created by fences. If the total amount of fencing available is 200 ft., find the dimensions that will maximize the total area. <BR>\n" );
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document.write( "I don't know why Tiff is here if she can't offer assistance.<BR>\n" );
document.write( "Anyway,<BR>\n" );
document.write( "The 200 feet of fence will be in 6 pieces.  Call W the width of 2 pieces, and L the length of the 4 pieces.<BR>\n" );
document.write( "2L + 4W = 200<BR>\n" );
document.write( "The total area is L*W<BR>\n" );
document.write( "2L + 4W = 200 --> L + 2W = 100 --> L = 100 - 2W<BR>\n" );
document.write( "Sub for L in the 2nd eqn<BR>\n" );
document.write( "Area = L*W<BR>\n" );
document.write( "Area = W*(100 - 2W) = 100W - 2W^2<BR>\n" );
document.write( "Find W to maximize the area<BR>\n" );
document.write( "It's a parabola, and the max is at the vertex.<BR>\n" );
document.write( "The vertex is as W = -b/2a = -100/-4<BR>\n" );
document.write( "W = 25 feet<BR>\n" );
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document.write( "L = 50 feet<BR>\n" );
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