document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006038>Question 1006038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase by 30m2. Find the area 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 #622182 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=622182\">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=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area of original rectangle<BR>\n" );
document.write( "The formula for perimeter is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+2L+%2B+2W+ ALIGN=MIDDLE  ALT=\"+P+=+2L+%2B+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+2L+%2B+2W+ ALIGN=MIDDLE  ALT=\"+36+=+2L+%2B+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+%2B+W+=+18+ ALIGN=MIDDLE  ALT=\"+L+%2B+W+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+18+-+W+ ALIGN=MIDDLE  ALT=\"+L+=+18+-+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+L%2AW+ ALIGN=MIDDLE  ALT=\"+A+=+L%2AW+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28+18+-+W+%29%2AW+ ALIGN=MIDDLE  ALT=\"+A+=+%28+18+-+W+%29%2AW+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+18W+-+W%5E2+ ALIGN=MIDDLE  ALT=\"+A+=+18W+-+W%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "You are given that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+%2B+30+=+%28+L+%2B+1+%29%2A%28+W+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+A+%2B+30+=+%28+L+%2B+1+%29%2A%28+W+%2B+2+%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+%2B+30+=+%28+18+-+W+%2B+1+%29%2A%28+W+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+A+%2B+30+=+%28+18+-+W+%2B+1+%29%2A%28+W+%2B+2+%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+%2B+30+=+%28+-W+%2B+19+%29%2A%28+W+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+A+%2B+30+=+%28+-W+%2B+19+%29%2A%28+W+%2B+2+%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+=+-W%5E2+%2B+19W+-+2W+%2B+38+-+30+ ALIGN=MIDDLE  ALT=\"+A+=+-W%5E2+%2B+19W+-+2W+%2B+38+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+-W%5E2+%2B+17W+%2B+8+ ALIGN=MIDDLE  ALT=\"+A+=+-W%5E2+%2B+17W+%2B+8+\"   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=+18W+-+W%5E2+=+-W%5E2+%2B+17W+%2B+8+ ALIGN=MIDDLE  ALT=\"+18W+-+W%5E2+=+-W%5E2+%2B+17W+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18W+=+17W+%2B+8+ ALIGN=MIDDLE  ALT=\"+18W+=+17W+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+8+ ALIGN=MIDDLE  ALT=\"+W+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+18+-+W+ ALIGN=MIDDLE  ALT=\"+L+=+18+-+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+18+-+8+ ALIGN=MIDDLE  ALT=\"+L+=+18+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+10+ ALIGN=MIDDLE  ALT=\"+L+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+L%2AW+ ALIGN=MIDDLE  ALT=\"+A+=+L%2AW+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+10%2A8+ ALIGN=MIDDLE  ALT=\"+A+=+10%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+80+ ALIGN=MIDDLE  ALT=\"+A+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The original area was 80 m2<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=+A+%2B+30+=+%28+L+%2B+1+%29%2A%28+W+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+A+%2B+30+=+%28+L+%2B+1+%29%2A%28+W+%2B+2+%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+%2B+30+=+%2810+%2B+1+%29%2A%28+8+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+A+%2B+30+=+%2810+%2B+1+%29%2A%28+8+%2B+2+%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+=+11%2A10+-+30+ ALIGN=MIDDLE  ALT=\"+A+=+11%2A10+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+110+-+30+ ALIGN=MIDDLE  ALT=\"+A+=+110+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+80+ ALIGN=MIDDLE  ALT=\"+A+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );