document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443324>Question 443324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't figure this out:  The dimensions of a rectangle are the length is 3 in more than its width, if the length were doubled and the width decreased by 1 in., the area would be increased by 126^2, what are the length and width of the rectangle?  Please HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305793 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You say the area would be increased by 126^2, do you mean 126in^2?<BR>\n" );
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document.write( "You will have a system of equations:<BR>\n" );
document.write( "A = lw<BR>\n" );
document.write( "[l = w+3]<BR>\n" );
document.write( "A = (w+3)*w<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "2l * w-1 = A + 126<BR>\n" );
document.write( "2(w+3) * w-1 = A + 126<BR>\n" );
document.write( "(2w+6)*(w-1) = A +126<BR>\n" );
document.write( "2w^2 +6w -2w -6 = A +126<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "2w^2 +4w -132 = A<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "2w^2 + 4w -132 = w(w+3)<BR>\n" );
document.write( "2w^2 + 4w + -132= w^2 +3w<BR>\n" );
document.write( "w^2 + w + -132 = 0<BR>\n" );
document.write( "(w-11)(w+12)<BR>\n" );
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document.write( "w = 11  or w =-12\r<BR>\n" );
document.write( "\n" );
document.write( "-12 inches doesn't make any sense, so 11 inches is the only one that makes sense.\r<BR>\n" );
document.write( "\n" );
document.write( "So the width is 11 inches.<BR>\n" );
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document.write( "Plug this back in for <BR>\n" );
document.write( "l = w+3<BR>\n" );
document.write( "l = 11 +3<BR>\n" );
document.write( "l = 14<BR>\n" );
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document.write( "The dimensions are 14 x 11 or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28l=14%29 ALIGN=MIDDLE  ALT=\"highlight%28l=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=11%29 ALIGN=MIDDLE  ALT=\"highlight%28w=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );