document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091587>Question 1091587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is 24cm less than the length. The perimeter is less than 172cm. Find the maximum dimensions of the rectangle if each dimension, in centimeters, is an integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706038 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=706038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> length is x<BR>\n" );
document.write( "width is x-24<BR>\n" );
document.write( "their sum is less than HALF the perimeter, or less than half of 172 or 86 cm.<BR>\n" );
document.write( "x+x-24 < 86<BR>\n" );
document.write( "2x <110<BR>\n" );
document.write( "x < 55 cm<BR>\n" );
document.write( "x-24 is < 31 cm<BR>\n" );
document.write( "so the maximum dimension is 30 cm width and 54 cm length.  If I use 31 and 55, those are integers that give a perimeter of exactly 172 cm, but the perimeter is LESS, so I have to decrease each an integer to keep them 24 cm apart.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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