document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995507>Question 995507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good morning distinguished Tutors,i kindly need help with the following question-------\"A mining company has 10 000 meters of fencing available .It wants to use the fencing to enclose a rectangular field .One side of the field is bordered by a river .If no fencing is placed on the side next to the river ,what is the largest area that can be enclosed?\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614236 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=614236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A mining company has 10 000 meters of fencing available .It wants to use the fencing to enclose a rectangular field .One side of the field is bordered by a river .If no fencing is placed on the side next to the river ,what is the largest area that can be enclosed?\" <BR>\n" );
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document.write( "Sketch the picture<BR>\n" );
document.write( "Let length of the rectangle = L<BR>\n" );
document.write( "There are two widths; each is W<BR>\n" );
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document.write( "L + 2W = 10,000 meters<BR>\n" );
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document.write( "Area = L*W<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "A = (10,000-2W)(W) = 10,000W - 2W^2<BR>\n" );
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document.write( "Form the derivative and solve for zero<BR>\n" );
document.write( "A' = 10,000-4W<BR>\n" );
document.write( "10,000-4W = 0<BR>\n" );
document.write( "4W = 10,000<BR>\n" );
document.write( "W = 2500 (width to get maximum Area)<BR>\n" );
document.write( "L = 10,000- 2(2500) = 5000 (length to get maximum Area)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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