document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171385>Question 171385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if mr smith has 80 ft of fence to close his garden in with would he get more square ft out of a rectangle or a square? Why </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126549 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=126549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if mr smith has 80 ft of fence to close his garden in with would he get more square ft out of a rectangle or a square? Why<BR>\n" );
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document.write( "He would get the most from a circle.  But the greatest area in a rectangular form is a square.  I don't know what it meant by why.  It's because it's the most area.<BR>\n" );
document.write( "The sides of the square would be 20 feet, giving 400 square feet.  Making them 19 by 21 gives 399 square feet.<BR>\n" );
document.write( "Area = LW = L*(40-L)<BR>\n" );
document.write( "Area = 40L - L^2<BR>\n" );
document.write( "Set the 1st derivative to zero and solve for L to get the maximum:<BR>\n" );
document.write( "40 - 2L = 0<BR>\n" );
document.write( "2L = 40<BR>\n" );
document.write( "L = 20<BR>\n" );
document.write( "That's a proof, not really \"why\"<BR>\n" );
document.write( "BTW, a square is a rectangle, a regular rectangle.<BR>\n" );
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