document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964189>Question 964189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question: The area of a rectangular rug is 160sqft. if it's width is 2ft less than 1/2 it's length, find the dimensions of the rug. <BR>\n" );
document.write( "I know A=LW. I'm racking my brain, but this is not my area of expertise. The equation I wrote to find the W is W=L/2-2. then i wrote 160=L(L/2-2), but that isn't getting me anywhere. I need help figuring out how to write the equation to find the dimensions. 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 #589073 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=589073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try to work with mostly lower cased letters for the variables.\r<BR>\n" );
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document.write( "w, width<BR>\n" );
document.write( "L, length  (upper case so not to confuse with any digit 1).<BR>\n" );
document.write( "A, area of the rug\r<BR>\n" );
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document.write( "You already know, <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( "Translate the description into symbolism.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=160 ALIGN=MIDDLE  ALT=\"A=160\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=160 ALIGN=MIDDLE  ALT=\"wL=160\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-2%2B%281%2F2%29L ALIGN=MIDDLE  ALT=\"w=-2%2B%281%2F2%29L\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What do you have?<BR>\n" );
document.write( "Basically two equations in the two unknown variables, w and L.  Use simple substitution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28wL=160%2Cw=L%2F2-2%29 ALIGN=MIDDLE  ALT=\"system%28wL=160%2Cw=L%2F2-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%2F2-2%29L=160 ALIGN=MIDDLE  ALT=\"%28L%2F2-2%29L=160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At this point you should no longer be \"racking\" your brain, because you now have a quadratic equation in one single variable, L.  You already found this far and then asked for help.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28L%5E2%2F2-2L=160%29 ALIGN=MIDDLE  ALT=\"highlight_green%28L%5E2%2F2-2L=160%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28L%5E2%2F2-2L%29=2%2A160 ALIGN=MIDDLE  ALT=\"2%28L%5E2%2F2-2L%29=2%2A160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-4L=320 ALIGN=MIDDLE  ALT=\"L%5E2-4L=320\"   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%28L%5E2-4L-320=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28L%5E2-4L-320=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Not even <i>trying</i> to factor that, ....<BR>\n" );
document.write( "discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%5E2-4%2A1%2A%28-320%29=16%2B1280=highlight_green%281296=%2836%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28-4%29%5E2-4%2A1%2A%28-320%29=16%2B1280=highlight_green%281296=%2836%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "General solution for quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%284%2B-+sqrt%2836%5E2%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=%284%2B-+sqrt%2836%5E2%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=%284%2B-+36%29%2F2 ALIGN=MIDDLE  ALT=\"L=%284%2B-+36%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Obviously the PLUS-form makes sense only.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%284%2B36%29%2F2 ALIGN=MIDDLE  ALT=\"L=%284%2B36%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=40%2F2 ALIGN=MIDDLE  ALT=\"L=40%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=20%29 ALIGN=MIDDLE  ALT=\"highlight%28L=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use either the area equation OR the description's formula equation to find w.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=160 ALIGN=MIDDLE  ALT=\"wL=160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=160%2FL ALIGN=MIDDLE  ALT=\"w=160%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=160%2F20 ALIGN=MIDDLE  ALT=\"w=160%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=8%29 ALIGN=MIDDLE  ALT=\"highlight%28w=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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