document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20563>Question 20563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expression 2(1 + w) may be used to find the perimeter of a rectagle.  What are the length and width of a rectangle if the area is 13 1/2 square feet and the length of one side is 1/5 the measure of the perimeter?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Teri </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9922 by </B><A HREF=/tutors/aboutme.mpl?userid=askmemath><B>askmemath(368)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=askmemath><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=9922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expression 2(1 + w) may be used to find the perimeter of a rectagle.  What are the length and width of a rectangle if the area is 13 1/2 square feet and the length of one side is 1/5 the measure of the perimeter?\r<BR>\n" );
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document.write( "Let length = L and width = W<BR>\n" );
document.write( "We know area = LxW which is given to be 13.5 sq feet.<BR>\n" );
document.write( "Also L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+x+Perimeter%2F5+ ALIGN=MIDDLE  ALT=\"1+x+Perimeter%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x+2%28L%2BW%29%2F5 ALIGN=MIDDLE  ALT=\"1x+2%28L%2BW%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying both sides with 5<BR>\n" );
document.write( "5L = 2(L+W)<BR>\n" );
document.write( "5L = 2L+2w<BR>\n" );
document.write( "Subtracting 2L on both sides<BR>\n" );
document.write( "3L = 2W<BR>\n" );
document.write( "Dividing both sides with 3<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%2F3 ALIGN=MIDDLE  ALT=\"2W%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting this back in the area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Wx2W%2F3 ALIGN=MIDDLE  ALT=\"Wx2W%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 13.5<BR>\n" );
document.write( "Multiplying both sides with 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2 ALIGN=MIDDLE  ALT=\"2W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40.5<BR>\n" );
document.write( "Dividing both sides with 2<BR>\n" );
document.write( "W^2 = 20.25<BR>\n" );
document.write( "or W = 4.5<BR>\n" );
document.write( "which means L = 2/3 X 4.5 = 3 </SPAN>\n" );
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