document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463491>Question 463491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is 9 cm longer than it is wide. The width is one seventh of the perimeter. What are the dimensions of the rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317554 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle is 9 cm longer than it is wide. The width is one seventh of the perimeter. What are the dimensions of the rectangle?<BR>\n" );
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document.write( "Let l = the length of the rectangle<BR>\n" );
document.write( "Let w = the width of the rectangle<BR>\n" );
document.write( "The length is 9 cm more than the width. In equation form this is:<BR>\n" );
document.write( "l = w + 9 [1]<BR>\n" );
document.write( "The width is 1/7 of the perimeter.  Since the perimeter = 2l + 2w, we can write:<BR>\n" );
document.write( "w = 1/7(2l + 2w) = 2/7(l + w) [2]<BR>\n" );
document.write( "Substitute the value for l in [1] into [2]:<BR>\n" );
document.write( "w = 2/7(w + 9 + w)<BR>\n" );
document.write( "Solve for w:<BR>\n" );
document.write( "w = 4/7w + 18/7<BR>\n" );
document.write( "3/7w = 18/7<BR>\n" );
document.write( "w = 6<BR>\n" );
document.write( "Therefore the length, l = 6 + 9 = 15<BR>\n" );
document.write( "Ans: w=6, l=15<BR>\n" );
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