document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885665>Question 885665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the length of a certain rectangle is 6 meters less than three times its width. The perimeter of the rectangle is 52 meters. Find the length and width 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 #535329 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=535329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Small Change:  Suppose that the length L of a certain rectangle is k meters less than m times its width w. The perimeter of the rectangle is p meters. Find the length and width of the rectangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p might or might not be an even number.<BR>\n" );
document.write( "CONSTANTS:  m, k, p<BR>\n" );
document.write( "UNKNOWNS:  L and w<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=mw-k ALIGN=MIDDLE  ALT=\"L=mw-k\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2B2L=p ALIGN=MIDDLE  ALT=\"2w%2B2L=p\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2B2%28mw-k%29=p ALIGN=MIDDLE  ALT=\"2w%2B2%28mw-k%29=p\"   DISABLED_style= \"max-width:90%; height:auto;\" > using substitution;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2B2mw-2k=p ALIGN=MIDDLE  ALT=\"2w%2B2mw-2k=p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B2m%29w-2k=p ALIGN=MIDDLE  ALT=\"%282%2B2m%29w-2k=p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B2m%29w=p%2B2k ALIGN=MIDDLE  ALT=\"%282%2B2m%29w=p%2B2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=%28p%2B2k%29%2F%282%2B2m%29%29 ALIGN=MIDDLE  ALT=\"highlight%28w=%28p%2B2k%29%2F%282%2B2m%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Rearrange the L equation, mw=L+k, w=(L+k)/m.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Substitute w into the perimeter equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28L%2Bk%29%2Fm%2B2L=p ALIGN=MIDDLE  ALT=\"2%28L%2Bk%29%2Fm%2B2L=p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28L%2Bk%29%2B2mL=mp ALIGN=MIDDLE  ALT=\"2%28L%2Bk%29%2B2mL=mp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%2B2k%2B2mL=mp ALIGN=MIDDLE  ALT=\"2L%2B2k%2B2mL=mp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%2B2mL=mp-2k ALIGN=MIDDLE  ALT=\"2L%2B2mL=mp-2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B2m%29L=mp-2k ALIGN=MIDDLE  ALT=\"%282%2B2m%29L=mp-2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=%28mp-2k%29%2F%282%2B2m%29%29 ALIGN=MIDDLE  ALT=\"highlight%28L=%28mp-2k%29%2F%282%2B2m%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );