document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316201>Question 316201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangular room is six times as long as the width. the perimeter is 84 yards. find the width. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226199 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Length is six times the width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+6+%2A+W+ ALIGN=MIDDLE  ALT=\"+L+=+6+%2A+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (eq 1) \r<BR>\n" );
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document.write( "Perimeter is the sum of the lengths of all four sides. Remember that for a rectangle, the opposite sides have the same length. There are two sides which have length L and two sides of W. The perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+2+L+%2B+2+W%7D+=+84%7D%7D+%28eq+2%29.+%0D%0A%0D%0ASubstitute+%28eq+1%29+into+%28eq+2%29%2C+which+gives+%7B%7B%7B2+%286W%29+%2B+2+W+=+12+W+%2B+2+W+=+14+W+=+84+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14W=84 ALIGN=MIDDLE  ALT=\"14W=84\"   DISABLED_style= \"max-width:90%; height:auto;\" >, divide both sides by 14 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+6 ALIGN=MIDDLE  ALT=\"W+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Now we should check: Since W = 6, and L=6*W, we know that L=36. Then the perimeter is P=2L+2W=2*36+2*6=72+12=84, so it checks out.  </SPAN>\n" );
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