document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252341>Question 252341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. Find the dimensions of the fence to maximize the area enclosed by the fence. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184203 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=184203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. Find the dimensions of the fence to maximize the area enclosed by the fence. <BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "You have a rectangle with one side being the river.<BR>\n" );
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document.write( "Let each side perpendicular to the river be \"x\".<BR>\n" );
document.write( "Then the side parallel to the river is \"2400-2x\".<BR>\n" );
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document.write( "Area = width*length<BR>\n" );
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document.write( "A(x) = x(2400-2x)<BR>\n" );
document.write( "A(x) = 2400x - 2x^2<BR>\n" );
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document.write( "You have a quadratic with a = -2 and b = 2400<BR>\n" );
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document.write( "Maximum Area occurs where x = -b/2a = -2400/(2*-2) = 600 ft. (width)<BR>\n" );
document.write( "length = 2400-2x = 2400-2*600 = 1200 (length)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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