document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145450>Question 1145450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular dining room is 18 meters. The area is 18 square meters. What are the dimensions of the dining room? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766678 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area = 18 = l * w<BR>\n" );
document.write( "perimeter = 18 = 2l + 2w<BR>\n" );
document.write( "l = length<BR>\n" );
document.write( "w = width\r<BR>\n" );
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document.write( "since both equal 18, then l * w = 2l + 2w<BR>\n" );
document.write( "in l * w = 18, solve for l to get l = 18/w\r<BR>\n" );
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document.write( "in 2l +2w = 18, replace l with 18/w to get:<BR>\n" );
document.write( "2 * (18/w) + 2w = 18<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "36/w + 2w = 18<BR>\n" );
document.write( "multiply both sides by w to get:<BR>\n" );
document.write( "36 + + 2w^2 = 18w<BR>\n" );
document.write( "subtract 18w from both sides to and order by descending order of degree to get:<BR>\n" );
document.write( "2w^2 - 18w + 36 = 0<BR>\n" );
document.write( "divide both sides by 2 to get:<BR>\n" );
document.write( "w^2 - 9w + 18 = 0<BR>\n" );
document.write( "factor to get:<BR>\n" );
document.write( "(w-3) * (w-6) = 0<BR>\n" );
document.write( "solve for w to get:<BR>\n" );
document.write( "w = 3 or w = 6.\r<BR>\n" );
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document.write( "if w = 3, then l = 6 and you get:<BR>\n" );
document.write( "l * w = 6 * 3 = 18<BR>\n" );
document.write( "2l + 2w = 2*6 + 2*3 = 12 + 6 = 18\r<BR>\n" );
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document.write( "if w = 6, then l = 3 and you get:<BR>\n" );
document.write( "l * w = 3 * 6 = 18<BR>\n" );
document.write( "2l + 2w = 2*3 + 2*6 = 6 + 12 = 18\r<BR>\n" );
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document.write( "the dimensions of the dining room are 3 by 6 or 6 by 3, however you want to show it.<BR>\n" );
document.write( "usually the length is the longer side, so length = 6 and width = 3 sounds like a good way to present it.\r<BR>\n" );
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