document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072459>Question 1072459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The owner of the Rancho Grande has 2952 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area he can enclose?\r<BR>\n" );
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document.write( "shorter side = ?yd<BR>\n" );
document.write( "Longer side = ?yd\r<BR>\n" );
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document.write( "what is the area = ?yd^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687354 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It helps to draw this.<BR>\n" );
document.write( "two sides are each x<BR>\n" );
document.write( "the one length is 2952-2x<BR>\n" );
document.write( "the area is x(2952-2x)=-2x^2+2952x.<BR>\n" );
document.write( "The derivative of that is -4x+2952.<BR>\n" );
document.write( "Set it equal to 0 and -4x=-2952 and x=738 yds<BR>\n" );
document.write( "2x=1476 yds<BR>\n" );
document.write( "A=1,089,288 yd^2<BR>\n" );
document.write( "That is the typical answer in these questions, where the width is half the length.<BR>\n" );
document.write( "Can check with a very close width and length, like 736 and 1480, the product of which is 1,089,280 yd^2.<BR>\n" );
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