document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499755>Question 499755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sides of a rectangle are in the ratio of 3:2. What is the length of each side if the perimeter of the rectangle is 55 cm? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337841 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=337841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perimeter = 2*Length + 2*Width = 2L+2W = 2(L+W)<BR>\n" );
document.write( "P = 55 cm<BR>\n" );
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document.write( "The tricky part here is to model the ratio of L:W = 3:2<BR>\n" );
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document.write( "We could try:<BR>\n" );
document.write( "L/W = 3/2<BR>\n" );
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document.write( "L = 3/2*W<BR>\n" );
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document.write( "Substitute for L in the perimeter equation.<BR>\n" );
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document.write( "2(3/2*W + W) = 55<BR>\n" );
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document.write( "Multiply through<BR>\n" );
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document.write( "3W + 2W = 55<BR>\n" );
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document.write( "Collect<BR>\n" );
document.write( "5W = 55<BR>\n" );
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document.write( "Divide both sides by 5<BR>\n" );
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document.write( "W = 11<BR>\n" );
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document.write( "L = 3/2*W<BR>\n" );
document.write( "L = 33/2<BR>\n" );
document.write( "L = 16.5<BR>\n" );
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document.write( "Check perimeter.<BR>\n" );
document.write( "2*16.5 = 33<BR>\n" );
document.write( "2*11 = 22<BR>\n" );
document.write( "Total = 55<BR>\n" );
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document.write( "Is the ratio 3:2?<BR>\n" );
document.write( "Yes.<BR>\n" );
document.write( "16.5/11 = 1.5 = 3/2<BR>\n" );
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document.write( "Re-read question to see what the answer should be:<BR>\n" );
document.write( "What is the length?<BR>\n" );
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document.write( "The length = 16.5 cm.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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