document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204074>Question 204074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am very confused by algebra and need help, can someone help me with this word problem?<BR>\n" );
document.write( "A rectangular garden has dimensions of 15f by 11f. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 sq.ft ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154054 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=154054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "The problem states the gravel is enough for 192 sq. ft. ---> uniform width built around the garden.\r<BR>\n" );
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document.write( "Let us see the garden then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C8%2C4%2C-4%2Cline%28-5%2C2%2C5%2C2%29%2Cline%285%2C2%2C5%2C-2%29%2Cline%285%2C-2%2C-5%2C-2%29%2Cline%28-5%2C-2%2C-5%2C2%29%2Cgreen%28line%28-5.7%2C2.5%2C5.7%2C2.5%29%2Cgreen%28line%285.7%2C2.5%2C5.7%2C-2.5%29%29%2Cgreen%28line%285.7%2C-2.5%2C-5.7%2C-2.5%29%29%2Cgreen%28line%28-5.7%2C-2.5%2C-5.7%2C2.5%29%29%2Cgreen%28arrow%28-5%2C0%2C-5.7%2C0%29%29%2Cgreen%28arrow%285%2C0%2C5.7%2C0%29%29%2Cgreen%28arrow%280%2C2%2C0%2C2.5%29%29%2Cgreen%28arrow%280%2C-2%2C0%2C-2.5%29%29%29%2Cred%28locate%28-5.4%2C0%2Cx%29%29%2Cred%28locate%285.3%2C0%2Cx%29%29%2Cred%28locate%280%2C2.15%2Cx%29%29%2Cred%28locate%280%2C-2.35%2Cx%29%29%2Cgreen%28locate%28-.7%2C0%2CGARDEN%29%29%2Cgreen%28locate%280%2C1.55%2C15ft%29%29%2Cgreen%28locate%280%2C-1.75%2C15ft%29%29%2Cgreen%28locate%28-4.75%2C0%2C11ft%29%29%2Cgreen%28locate%283.85%2C0%2C11ft%29%29%2Cred%28locate%280%2C2.7%2C15%2Bx%2Bx%29%29%2Cred%28locate%285.75%2C0%2C11%2Bx%2Bx%29%29%2Cgreen%28locate%280%2C.5%2CA%5B1%5D%29%29%2Cred%28locate%280%2C-3%2CA%5B2%5D%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As you can see, we need to SUBTACT <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28A%5B2%5D%29 ALIGN=MIDDLE  ALT=\"red%28A%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28A%5B1%5D%29 ALIGN=MIDDLE  ALT=\"green%28A%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for us to get 192 sq. ft of gravel used for the uniform width.\r<BR>\n" );
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document.write( "It follows,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28A%5B2%5D%29-green%28A%5B1%5D%29=192ft%5E2 ALIGN=MIDDLE  ALT=\"red%28A%5B2%5D%29-green%28A%5B1%5D%29=192ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2Bx%2Bx%29%2811%2Bx%2Bx%29-%2815%29%2811%29=192ft%5E2 ALIGN=MIDDLE  ALT=\"%2815%2Bx%2Bx%29%2811%2Bx%2Bx%29-%2815%29%2811%29=192ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2B2x%29%2811%2B2x%29-%2815%29%2811%29=192 ALIGN=MIDDLE  ALT=\"%2815%2B2x%29%2811%2B2x%29-%2815%29%2811%29=192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28165%29%2B22x%2B30x%2B4x%5E2-cross%28165%29=192 ALIGN=MIDDLE  ALT=\"cross%28165%29%2B22x%2B30x%2B4x%5E2-cross%28165%29=192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B52x-192=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B52x-192=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=4%2Cb=52%2Cc=-192%29 ALIGN=MIDDLE  ALT=\"system%28a=4%2Cb=52%2Cc=-192%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By Quadratic Eqn,<BR>\n" );
document.write( "Solving discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=52%5E2-4%284%29%28-192%29=2704%2B3072=red%285776%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=52%5E2-4%284%29%28-192%29=2704%2B3072=red%285776%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-52%2B-sqrt%285776%29%29%2F%282%2A4%29=%28-52%2B-76%29%2F8 ALIGN=MIDDLE  ALT=\"x=+%28-52%2B-sqrt%285776%29%29%2F%282%2A4%29=%28-52%2B-76%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-52-76%29%2F8=-128%2F8=-16%29 ALIGN=MIDDLE  ALT=\"x=%28-52-76%29%2F8=-128%2F8=-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,disregard (-)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-52%2B76%29%2F8=24%2F8 ALIGN=MIDDLE  ALT=\"x=%28-52%2B76%29%2F8=24%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28red%28x=3ft%29%29 ALIGN=MIDDLE  ALT=\"highlight%28red%28x=3ft%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (Answer) ---> the uniform width\r<BR>\n" );
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document.write( "Let us check,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28A%5B2%5D%29-green%28A%5B1%5D%29=192ft%5E2 ALIGN=MIDDLE  ALT=\"red%28A%5B2%5D%29-green%28A%5B1%5D%29=192ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2Bred%283%29%2Bred%283%29%29%2811%2Bred%283%29%2Bred%283%29%29-%2815%29%2811%29%29=192ft%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821%29%2817%29-%2815%29%2811%29=192 ALIGN=MIDDLE  ALT=\"%2821%29%2817%29-%2815%29%2811%29=192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=357-165=192 ALIGN=MIDDLE  ALT=\"357-165=192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=192ft%5E2=192ft%5E2 ALIGN=MIDDLE  ALT=\"192ft%5E2=192ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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