document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186874>Question 186874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a few problems and I just do not understand how to do them.  It is not from a text book.  Can you please help me?<BR>\n" );
document.write( "A rectangular garden has a dimension of 15 feet by 11 feet.  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 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 #140086 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A11+=+165 ALIGN=MIDDLE  ALT=\"15%2A11+=+165\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft2 = The area of the garden<BR>\n" );
document.write( "If the gravel path is of uniform width, it will<BR>\n" );
document.write( "extend the width of the garden by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and it will extend the length of the garden<BR>\n" );
document.write( "by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > also. <BR>\n" );
document.write( "So, the area of garden + path = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2B+2x%29%2A%2811+%2B+2x%29 ALIGN=MIDDLE  ALT=\"%2815+%2B+2x%29%2A%2811+%2B+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also I know area of garden + path = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165+%2B+192+=+357 ALIGN=MIDDLE  ALT=\"165+%2B+192+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2B+2x%29%2A%2811+%2B+2x%29+=+357 ALIGN=MIDDLE  ALT=\"%2815+%2B+2x%29%2A%2811+%2B+2x%29+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165+%2B+22x+%2B+30x+%2B+4x%5E2+=+357 ALIGN=MIDDLE  ALT=\"165+%2B+22x+%2B+30x+%2B+4x%5E2+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165 ALIGN=MIDDLE  ALT=\"165\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22x+%2B+30x+%2B+4x%5E2+=+192 ALIGN=MIDDLE  ALT=\"22x+%2B+30x+%2B+4x%5E2+=+192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rewrite the left side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+52x+=+192 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+52x+=+192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+13x+=+48 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+13x+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+13x+-+48+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+13x+-+48+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+13 ALIGN=MIDDLE  ALT=\"b+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-48 ALIGN=MIDDLE  ALT=\"c+=+-48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-13+%2B-+sqrt%28+13%5E2-4%2A1%2A%28-48%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-13+%2B-+sqrt%28+13%5E2-4%2A1%2A%28-48%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-13+%2B-+sqrt%28+169+%2B+192+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-13+%2B-+sqrt%28+169+%2B+192+%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=x+=+%28-13+%2B-+sqrt%28+361+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-13+%2B-+sqrt%28+361+%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=x+=+%28-13+%2B-+19%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-13+%2B-+19%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=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-16 ALIGN=MIDDLE  ALT=\"x+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > (not useful here)<BR>\n" );
document.write( "The path can be 3 feet wide<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2B+2x%29%2A%2811+%2B+2x%29+=+357 ALIGN=MIDDLE  ALT=\"%2815+%2B+2x%29%2A%2811+%2B+2x%29+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2B+2%2A3%29%2A%2811+%2B+2%2A3%29+=+357 ALIGN=MIDDLE  ALT=\"%2815+%2B+2%2A3%29%2A%2811+%2B+2%2A3%29+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815+%2B+6%29%2A%2811+%2B+6%29+=+357 ALIGN=MIDDLE  ALT=\"%2815+%2B+6%29%2A%2811+%2B+6%29+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2A17+=+357 ALIGN=MIDDLE  ALT=\"21%2A17+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=357+=+357 ALIGN=MIDDLE  ALT=\"357+=+357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );