document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206101>Question 1206101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular lot is  65 yards long and  110 <BR>\n" );
document.write( "yards wide.<BR>\n" );
document.write( "Give the length and width of another rectangular lot that has the same perimeter but a smaller area.<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 #843328 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The sum of the length and width of the given rectangle is 175 yards.<br><BR>\n" );
document.write( "For another rectangle to have the same perimeter, the sum of its length and width has to be 175 yards also.<br><BR>\n" );
document.write( "The area of a rectangle is the product of the length and width.<br><BR>\n" );
document.write( "For a fixed sum of two numbers, the product of the two numbers is larger if the two numbers are close together and smaller if the two numbers are farther apart.  The product is maximum if the two numbers are the same.<br><BR>\n" );
document.write( "So the rectangle with the largest area and with the same perimeter as the given rectangle is a square with side length 175/2 = 87.5.<br><BR>\n" );
document.write( "Some other dimensions of a rectangle with the same perimeter as and larger area than the given rectangle are...<BR>\n" );
document.write( "70 x 105<BR>\n" );
document.write( "75 x 100<BR>\n" );
document.write( "87 x 88<BR>\n" );
document.write( "...<br><BR>\n" );
document.write( "Or, in general, any two numbers of the form (87.5+x) and (87.5-x), where x is any non-negative number less than 87.5.<br>\r<BR>\n" );
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