document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682894>Question 682894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The  length of a rectangle is 18 cm more than the width. A second rectangle is 6cm shorter and 3 cm wider than the first and has a perimeter of 126 cm. Find the dimensions of each rectangle.\r<BR>\n" );
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document.write( "This is what I tried.<BR>\n" );
document.write( "(w -3) +( w-3) +( w + 18+3) +( w + 18+3) = 126\r<BR>\n" );
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document.write( "but it did not work out correctly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423370 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D ALIGN=MIDDLE  ALT=\"L%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the length and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D ALIGN=MIDDLE  ALT=\"W%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > the width of the first rectangle, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D ALIGN=MIDDLE  ALT=\"L%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the length and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D ALIGN=MIDDLE  ALT=\"W%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > the width of the second rectangle\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "The  length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D ALIGN=MIDDLE  ALT=\"L%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18cm ALIGN=MIDDLE  ALT=\"18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > more than the width <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D ALIGN=MIDDLE  ALT=\"W%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D=W%5B1%5D%2B18cm ALIGN=MIDDLE  ALT=\"L%5B1%5D=W%5B1%5D%2B18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq. 1\r<BR>\n" );
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document.write( "A second rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6cm ALIGN=MIDDLE  ALT=\"6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >} shorter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=L%5B1%5D-6cm ALIGN=MIDDLE  ALT=\"L%5B2%5D=L%5B1%5D-6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3cm ALIGN=MIDDLE  ALT=\"3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >  wider than the first: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D=W%5B1%5D%2B3cm ALIGN=MIDDLE  ALT=\"W%5B2%5D=W%5B1%5D%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " and has a perimeter of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=126cm ALIGN=MIDDLE  ALT=\"P%5B2%5D=126cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eg. 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28L%5B2%5D%2BW%5B2%5D%29=126cm ALIGN=MIDDLE  ALT=\"2%28L%5B2%5D%2BW%5B2%5D%29=126cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >..substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D ALIGN=MIDDLE  ALT=\"L%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D ALIGN=MIDDLE  ALT=\"W%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%282%29%28L%5B1%5D-6cm%2BW%5B1%5D%2B3cm%29=cross%28126%2963cm ALIGN=MIDDLE  ALT=\"cross%282%29%28L%5B1%5D-6cm%2BW%5B1%5D%2B3cm%29=cross%28126%2963cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%5B1%5D-3cm%2BW%5B1%5D%29=63cm ALIGN=MIDDLE  ALT=\"%28L%5B1%5D-3cm%2BW%5B1%5D%29=63cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%5B1%5D%2BW%5B1%5D%29=63cm%2B3cm ALIGN=MIDDLE  ALT=\"%28L%5B1%5D%2BW%5B1%5D%29=63cm%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........go to eq. 1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D=W%5B1%5D%2B18cm ALIGN=MIDDLE  ALT=\"L%5B1%5D=W%5B1%5D%2B18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D ALIGN=MIDDLE  ALT=\"L%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D%2B18cm%2BW%5B1%5D=66cm ALIGN=MIDDLE  ALT=\"W%5B1%5D%2B18cm%2BW%5B1%5D=66cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D ALIGN=MIDDLE  ALT=\"W%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5B1%5D=66cm-18cm ALIGN=MIDDLE  ALT=\"2W%5B1%5D=66cm-18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5B1%5D=48cm ALIGN=MIDDLE  ALT=\"2W%5B1%5D=48cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D=48cm%2F2 ALIGN=MIDDLE  ALT=\"W%5B1%5D=48cm%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W%5B1%5D=24cm%29 ALIGN=MIDDLE  ALT=\"highlight%28W%5B1%5D=24cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D ALIGN=MIDDLE  ALT=\"L%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D=W%5B1%5D%2B18cm ALIGN=MIDDLE  ALT=\"L%5B1%5D=W%5B1%5D%2B18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D=24cm%2B18cm ALIGN=MIDDLE  ALT=\"L%5B1%5D=24cm%2B18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L%5B1%5D=42cm%29 ALIGN=MIDDLE  ALT=\"highlight%28L%5B1%5D=42cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now we can find sides of second rectangle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=L%5B1%5D-6cm ALIGN=MIDDLE  ALT=\"L%5B2%5D=L%5B1%5D-6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=42cm-6cm ALIGN=MIDDLE  ALT=\"L%5B2%5D=42cm-6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L%5B2%5D=36cm%29 ALIGN=MIDDLE  ALT=\"highlight%28L%5B2%5D=36cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D=W%5B1%5D%2B3cm ALIGN=MIDDLE  ALT=\"W%5B2%5D=W%5B1%5D%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D=24cm%2B3cm ALIGN=MIDDLE  ALT=\"W%5B2%5D=24cm%2B3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W%5B2%5D=27cm%29 ALIGN=MIDDLE  ALT=\"highlight%28W%5B2%5D=27cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=126cm ALIGN=MIDDLE  ALT=\"P%5B2%5D=126cm\"   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=2%2836cm%2B27cm%29=126cm ALIGN=MIDDLE  ALT=\"2%2836cm%2B27cm%29=126cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2863cm%29=126cm ALIGN=MIDDLE  ALT=\"2%2863cm%29=126cm\"   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=126cm=126cm ALIGN=MIDDLE  ALT=\"126cm=126cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );