document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431927>Question 431927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have 200 feet of fencing material to make a pen for live stock. If you make a rectangular pen, what is the maximum aree you can fence in? \r<BR>\n" );
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document.write( "Extend the table to determine the anser.\r<BR>\n" );
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document.write( "Base=3  Permimeter=200 Height=? Area=?<BR>\n" );
document.write( "Base=20 Perimeter= 200 Height=? Area=?<BR>\n" );
document.write( "I need help finding out the height and Area.<BR>\n" );
document.write( "Help me Please & Thank you (:  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299648 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of the pen is 2l + 2w<BR>\n" );
document.write( "The area of the pen is l*w<BR>\n" );
document.write( "Given: 200 feet of material<BR>\n" );
document.write( "So we can write<BR>\n" );
document.write( "200 = 2l + 2w -> l + w = 100 -> l = 100 - w<BR>\n" );
document.write( "Substitute this value for l in the equation for the area:<BR>\n" );
document.write( "A = w(100-w)<BR>\n" );
document.write( "This area will be maximized for dA/dw = 0<BR>\n" );
document.write( "dA/dw = 100 - 2w<BR>\n" );
document.write( "Set=0 and solve for w:<BR>\n" );
document.write( "2w = 100 -> w = 50<BR>\n" );
document.write( "So the length is also 50.<BR>\n" );
document.write( "Therefore, the maximum area = 50*50 = 2500 sq. ft. </SPAN>\n" );
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