document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460464>Question 460464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 28cm. If the length were decreased by 2cm and the width increased by 2cm, the area would be increased by 8cm.<BR>\n" );
document.write( "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 #315826 by </B><A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><B>Tatiana_Stebko(1539)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><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=Tatiana_Stebko><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x is the length of a rectangle<BR>\n" );
document.write( "Let y is the width of a rectangle<BR>\n" );
document.write( "The perimeter of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y ALIGN=MIDDLE  ALT=\"2x%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm, than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y=28 ALIGN=MIDDLE  ALT=\"2x%2B2y=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of the rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the length were decreased by 2cm, so the length would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm and the width increased by 2cm, so the width would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B2%29 ALIGN=MIDDLE  ALT=\"%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm, the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28y%2B2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the area would be increased by 8cm, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2B8=%28x-2%29%28y%2B2%29 ALIGN=MIDDLE  ALT=\"xy%2B8=%28x-2%29%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "System of equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%2B2y=28%2Cxy%2B8=%28x-2%29%28y%2B2%29%29 ALIGN=MIDDLE  ALT=\"system%282x%2B2y=28%2Cxy%2B8=%28x-2%29%28y%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=14%2Cxy%2B8=xy%2B2x-2y-4%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=14%2Cxy%2B8=xy%2B2x-2y-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=14%2C2x-2y=12%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=14%2C2x-2y=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=14-x%2Cx-y=6%29 ALIGN=MIDDLE  ALT=\"system%28y=14-x%2Cx-y=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=14-x%2Cx-%2814-x%29=6%29 ALIGN=MIDDLE  ALT=\"system%28y=14-x%2Cx-%2814-x%29=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=14-x%2C2x=20%29 ALIGN=MIDDLE  ALT=\"system%28y=14-x%2C2x=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=10%2Cy=14-10%29 ALIGN=MIDDLE  ALT=\"system%28x=10%2Cy=14-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=10%2Cy=4%29 ALIGN=MIDDLE  ALT=\"system%28x=10%2Cy=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=10cm is the length of a rectangle<BR>\n" );
document.write( "y=4cm is the width of a rectangle<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282%2A10%2B2%2A4=28%2C10%2A4%2B8=%2810-2%29%284%2B2%29%29 ALIGN=MIDDLE  ALT=\"system%282%2A10%2B2%2A4=28%2C10%2A4%2B8=%2810-2%29%284%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2828=28%2C48=48%29 ALIGN=MIDDLE  ALT=\"system%2828=28%2C48=48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-correct<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer: x=10cm is the length of a rectangle, y=4cm is the width of a rectangle </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );