document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737218>Question 737218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following equation, \"A rectangle is 2 centimeters longer than it is wide. If both the length and width are doubled, its area is increased by  72 square centimeters. Find the dimensions of the original rectangle.\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450245 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=450245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the width in cm of the original window<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2+ ALIGN=MIDDLE  ALT=\"+x+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length in cm  of the original window <BR>\n" );
document.write( "The area of the original window is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+x%2A%28+x+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+A+=+x%2A%28+x+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The widow with increased area is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+%2B+72+=+2x%2A%282%2A%28+x+%2B+2+%29%29+ ALIGN=MIDDLE  ALT=\"+A+%2B+72+=+2x%2A%282%2A%28+x+%2B+2+%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=+A+=+2x%2A%282%2A%28+x+%2B+2+%29%29++-+72+ ALIGN=MIDDLE  ALT=\"+A+=+2x%2A%282%2A%28+x+%2B+2+%29%29++-+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28+x%2B2+%29+=+2x%2A%282%2A%28+x+%2B+2+%29%29++-+72+ ALIGN=MIDDLE  ALT=\"+x%28+x%2B2+%29+=+2x%2A%282%2A%28+x+%2B+2+%29%29++-+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+=+2x%2A%28+2x+%2B+4+%29+-+72+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+=+2x%2A%28+2x+%2B+4+%29+-+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+=+4x%5E2+%2B+8x+-+72+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+=+4x%5E2+%2B+8x+-+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E2+%2B+6x+-72+=+0+ ALIGN=MIDDLE  ALT=\"+3x%5E2+%2B+6x+-72+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+-+24+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+-+24+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+%2B+6+%29%2A%28+x+-+4+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+x+%2B+6+%29%2A%28+x+-+4+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( by inspection )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( reject the other solution - can't be negative )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+2+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The original rectangle is 4 x 6 cm2<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "If both the length and width are doubled,<BR>\n" );
document.write( "it is 8 x 12 cm2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+=+4%2A6+ ALIGN=MIDDLE  ALT=\"+A%5B1%5D+=+4%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+=+24+ ALIGN=MIDDLE  ALT=\"+A%5B1%5D+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm2<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B2%5D=+8%2A12+ ALIGN=MIDDLE  ALT=\"+A%5B2%5D=+8%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B2%5D+=+96+ ALIGN=MIDDLE  ALT=\"+A%5B2%5D+=+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B2%5D+-+A%5B1%5D+=+96+-+24+ ALIGN=MIDDLE  ALT=\"+A%5B2%5D+-+A%5B1%5D+=+96+-+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B2%5D+-+A%5B1%5D+=+72+ ALIGN=MIDDLE  ALT=\"+A%5B2%5D+-+A%5B1%5D+=+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );