document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048957>Question 1048957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 8 cm more than its width. If the length is decreased by 9 and the width is tripled, the area is increased by 50%. What was the area of the original triangle?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664528 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=664528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What was the area of the original - did you mean to say, RECTANGLE?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=w%2B8 ALIGN=MIDDLE  ALT=\"L=w%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=A ALIGN=MIDDLE  ALT=\"wL=A\"   DISABLED_style= \"max-width:90%; height:auto;\" >, original area\r<BR>\n" );
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document.write( "Changed rectangle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-9%29%283w%29=%283%2F2%29A ALIGN=MIDDLE  ALT=\"%28L-9%29%283w%29=%283%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the 50% area increase.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3wL-27w=%283%2F2%29A ALIGN=MIDDLE  ALT=\"3wL-27w=%283%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3A-27w=%283%2F2%29A ALIGN=MIDDLE  ALT=\"3A-27w=%283%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3A-%283%2F2%29A=27w ALIGN=MIDDLE  ALT=\"3A-%283%2F2%29A=27w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-%28A%2F2%29=27w ALIGN=MIDDLE  ALT=\"A-%28A%2F2%29=27w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F2=27w ALIGN=MIDDLE  ALT=\"A%2F2=27w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A=54w%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A=54w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------steps might be not the best path, but this equation is still useful.\r<BR>\n" );
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document.write( "Re-substitute for A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=54w ALIGN=MIDDLE  ALT=\"wL=54w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%2B8%29L=54%28L-8%29 ALIGN=MIDDLE  ALT=\"%28L%2B8%29L=54%28L-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------substituted for w;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2B8L=54L-54%2A8 ALIGN=MIDDLE  ALT=\"L%5E2%2B8L=54L-54%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2B8L-54L%2B54%2A8=0 ALIGN=MIDDLE  ALT=\"L%5E2%2B8L-54L%2B54%2A8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-46L%2B8%2A54=0 ALIGN=MIDDLE  ALT=\"L%5E2-46L%2B8%2A54=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Maybe the constant term is better factorable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A54=2%2A2%2A2%2A27%2A2=2%2A2%2A2%2A2%2A3%2A3%2A3 ALIGN=MIDDLE  ALT=\"8%2A54=2%2A2%2A2%2A27%2A2=2%2A2%2A2%2A2%2A3%2A3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----or maybe this not too useful yet.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%2846%2B-+sqrt%2846%5E2-4%2A8%2A54%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=%2846%2B-+sqrt%2846%5E2-4%2A8%2A54%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----general solution of quadratic formula;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%2846%2B-+sqrt%28388%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=%2846%2B-+sqrt%28388%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=L=46%2B-+sqrt%284%2A97%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=L=46%2B-+sqrt%284%2A97%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%2846%2B-+2%2Asqrt%2897%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=%2846%2B-+2%2Asqrt%2897%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=23%2B-+sqrt%2897%29 ALIGN=MIDDLE  ALT=\"L=23%2B-+sqrt%2897%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------97 is a prime number.\r<BR>\n" );
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document.write( "Approx, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=23%2B-+9.849 ALIGN=MIDDLE  ALT=\"L=23%2B-+9.849\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=23%2B-+9.849-8 ALIGN=MIDDLE  ALT=\"w=23%2B-+9.849-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If taking the PLUS form of L,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28L=32.9849%2Cw=24.849%29 ALIGN=MIDDLE  ALT=\"system%28L=32.9849%2Cw=24.849%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Original area, 820\r<BR>\n" );
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document.write( "If taking the MINUS form of L,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28L=13.151%2Cw=5.151%29 ALIGN=MIDDLE  ALT=\"system%28L=13.151%2Cw=5.151%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Original area, 68 </SPAN>\n" );
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