document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105985>Question 105985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the length of a rectangle is increased  by 12 and the width is decreased by 8,the area is unchanged.The area is also unchanged if the original legth is increased by 5 and the original width is decreased by 4 .Find the original dimensions 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 #77111 by </B><A HREF=/tutors/aboutme.mpl?userid=alvinjohnburgos><B>alvinjohnburgos(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alvinjohnburgos><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if L = length of triangle<BR>\n" );
document.write( "   W = width of triangle<BR>\n" );
document.write( "Then the area of the triangle would be:<BR>\n" );
document.write( "eq.1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+LW ALIGN=MIDDLE  ALT=\"A+=+LW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the length of a rectangle is increased  by 12 and the width is decreased by 8,the area is unchanged:<BR>\n" );
document.write( "eq.2)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28L+%2B+12%29%28W+-+8%29 ALIGN=MIDDLE  ALT=\"A+=+%28L+%2B+12%29%28W+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area is also unchanged if the original length is increased by 5 and the original width is decreased by 4:<BR>\n" );
document.write( "eq.3)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28L+%2B+5%29%28W+-+4%29 ALIGN=MIDDLE  ALT=\"A+=+%28L+%2B+5%29%28W+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting LW for A in eq2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LW+=+%28L+%2B+12%29%28W+-+8%29 ALIGN=MIDDLE  ALT=\"LW+=+%28L+%2B+12%29%28W+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LW+=+LW++-+8L++%2B+12W+-+96 ALIGN=MIDDLE  ALT=\"LW+=+LW++-+8L++%2B+12W+-+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12W+-+8L+=+96 ALIGN=MIDDLE  ALT=\"12W+-+8L+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12W+=+96+%2B+8L ALIGN=MIDDLE  ALT=\"12W+=+96+%2B+8L\"   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+%2B+%282%2F3%29L ALIGN=MIDDLE  ALT=\"W+=+8+%2B+%282%2F3%29L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting LW for A and (8 + (2/3)L) for W in eq3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%288+%2B+%282%2F3%29L%29+=+%28L+%2B+5%29%288+%2B+%282%2F3%29L+-+4%29 ALIGN=MIDDLE  ALT=\"L%288+%2B+%282%2F3%29L%29+=+%28L+%2B+5%29%288+%2B+%282%2F3%29L+-+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=8L+%2B+%282%2F3%29L%5E2+=+%28L+%2B+5%29%284+%2B+%282%2F3%29L%29 ALIGN=MIDDLE  ALT=\"8L+%2B+%282%2F3%29L%5E2+=+%28L+%2B+5%29%284+%2B+%282%2F3%29L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8L+%2B+%282%2F3%29L%5E2+=+4L+%2B+%282%2F3%29L%5E2+%2B+20+%2B+%2810%2F3%29L ALIGN=MIDDLE  ALT=\"8L+%2B+%282%2F3%29L%5E2+=+4L+%2B+%282%2F3%29L%5E2+%2B+20+%2B+%2810%2F3%29L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29L+=+20 ALIGN=MIDDLE  ALT=\"%282%2F3%29L+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+30 ALIGN=MIDDLE  ALT=\"L+=+30\"   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+%2B+%282%2F3%29L ALIGN=MIDDLE  ALT=\"W+=+8+%2B+%282%2F3%29L\"   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+%2B+%282%2F3%29%2830%29 ALIGN=MIDDLE  ALT=\"W+=+8+%2B+%282%2F3%29%2830%29\"   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+%2B+20+=+28 ALIGN=MIDDLE  ALT=\"W+=+8+%2B+20+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dimensions of the triangle:<BR>\n" );
document.write( "length is 30 units<BR>\n" );
document.write( "width is 28 units<BR>\n" );
document.write( "area is 840 square units </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );