document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543599>Question 543599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle has the length that is two thirds its width. If the perimeter of the rectangle is 40 meters, what is the length 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 #354895 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let L = the length<BR>\n" );
document.write( "Let W = the width<BR>\n" );
document.write( "Let P = the perimeter<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The formula for the perimeter of a rectangle is P = 2L + 2W<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "P = 40 meters<BR>\n" );
document.write( "L = 2/3W<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Let's substitute the values for P and L into our formula for the perimeter and solve for W.  After that, we can solve for L.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "P = 2L + 2W = 40 m<BR>\n" );
document.write( "2(2/3W) + 2W = 40<BR>\n" );
document.write( "4/3W + 2W = 40<BR>\n" );
document.write( "10/3W = 40<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply both sides by 3/10:<BR>\n" );
document.write( "10/3W(3/10) = 40(3/10)<BR>\n" );
document.write( "W = 12 m<BR>\n" );
document.write( "...<BR>\n" );
document.write( "L = 2/3W<BR>\n" );
document.write( "L = 2/3(12)<BR>\n" );
document.write( "L = 8 m<BR>\n" );
document.write( "....<BR>\n" );
document.write( "The answer to the question is L = 8 meters; however, it is best to always check your work.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "P = 40 = 2(8) + 2(12)<BR>\n" );
document.write( "40 = 16 + 24<BR>\n" );
document.write( "40 = 40 checks<BR>\n" );
document.write( "...<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Lee </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );