document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320785>Question 320785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any help with the following word problem would be great.  I just really need the help setting up the problem.\r<BR>\n" );
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document.write( "A gardener has a rose garden that measures 30 feet by 20 feet.  He wants to put a uniform border of pine bark around the outside of the garden.  Find how wide the border should be if he has enough pine bark to cover 336 square feet. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229716 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=229716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the width of the path be x feet.<BR>\n" );
document.write( "The plan is to express the area of the garden with the border in terms of x, then subtract the area of just the garden.  This will result in a quadratic equation in x which you solve by any of the appropriate methods available to you.<BR>\n" );
document.write( "The area of the garden with border <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D ALIGN=MIDDLE  ALT=\"A%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be expressed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+%2830%2B2x%29%2820%2B2x%29 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+%2830%2B2x%29%2820%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+4x%5E2%2B100x%2B600 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+4x%5E2%2B100x%2B600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of just the garden <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D ALIGN=MIDDLE  ALT=\"A%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D+=+%2820%29%2A%2830%29 ALIGN=MIDDLE  ALT=\"A%5B2%5D+=+%2820%29%2A%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=A%5B2%5D+=+600 ALIGN=MIDDLE  ALT=\"A%5B2%5D+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft.<BR>\n" );
document.write( "Now subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D ALIGN=MIDDLE  ALT=\"A%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D ALIGN=MIDDLE  ALT=\"A%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+-+A%5B2%5D+=+4x%5E2%2B100x ALIGN=MIDDLE  ALT=\"A%5B1%5D+-+A%5B2%5D+=+4x%5E2%2B100x\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the area of the border of width x ft. which is given as 336 sq.ft., so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B100x+=+336 ALIGN=MIDDLE  ALT=\"4x%5E2%2B100x+=+336\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 336 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B100x-336+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B100x-336+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify by factoring out a 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2%2B25x-84%29+=+0 ALIGN=MIDDLE  ALT=\"4%28x%5E2%2B25x-84%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...and from the zero product rule, you get that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B25x-84+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B25x-84+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > You can solve this by factoring and you should get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-28 ALIGN=MIDDLE  ALT=\"x+=+-28\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The width cannot be a negative quantity, so the width must be 3 feet. </SPAN>\n" );
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