document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048668>Question 1048668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rug is to fit a room so that a border of even width is left on all four sides. If the room is 21 by 24 feet and the area of the rug is 238 square feet, how wide will the border be?\r<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 #664251 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=664251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the width of the border<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+21+-+2x+%29%2A%28+24+-+2x+%29+=+238+ ALIGN=MIDDLE  ALT=\"+%28+21+-+2x+%29%2A%28+24+-+2x+%29+=+238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( do you see why I subtracted <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+ ALIGN=MIDDLE  ALT=\"+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from each dimension ? )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+504+-+48x+-+42x+%2B+4x%5E2+=+238+ ALIGN=MIDDLE  ALT=\"+504+-+48x+-+42x+%2B+4x%5E2+=+238+\"   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+-+90x+%2B+266+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+-+90x+%2B+266+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+-+45x+%2B+133+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+-+45x+%2B+133+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use 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+=+2+ ALIGN=MIDDLE  ALT=\"+a+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-45+ ALIGN=MIDDLE  ALT=\"+b+=+-45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+133+ ALIGN=MIDDLE  ALT=\"+c+=+133+\"   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-%28-45%29+%2B-+sqrt%28+%28-45%29%5E2-4%2A2%2A133+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-%28-45%29+%2B-+sqrt%28+%28-45%29%5E2-4%2A2%2A133+%29%29%2F%282%2A2%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+45+%2B-+sqrt%28+2025+-+1064+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+45+%2B-+sqrt%28+2025+-+1064+%29%29+%2F+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+=+%28+45+%2B-+sqrt%28+961+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+45+%2B-+sqrt%28+961+%29%29+%2F+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+=+%28+45+-+31+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+45+-+31+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( only the minus square root works here )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+14%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+14%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+7%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+7%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+=+3.5+ ALIGN=MIDDLE  ALT=\"+x+=+3.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The border is 3.5 ft wide<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+21+-+2x+%29%2A%28+24+-+2x+%29+=+238+ ALIGN=MIDDLE  ALT=\"+%28+21+-+2x+%29%2A%28+24+-+2x+%29+=+238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+21+-+2%2A%287%2F2%29+%29%2A%28+24+-+2%2A%287%2F2%29+%29+=+238+ ALIGN=MIDDLE  ALT=\"+%28+21+-+2%2A%287%2F2%29+%29%2A%28+24+-+2%2A%287%2F2%29+%29+=+238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+21+-+7+%29%2A%28+24+-+7+%29+=+238+ ALIGN=MIDDLE  ALT=\"+%28+21+-+7+%29%2A%28+24+-+7+%29+=+238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%2A17+=+238+ ALIGN=MIDDLE  ALT=\"+14%2A17+=+238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+238+=+238+ ALIGN=MIDDLE  ALT=\"+238+=+238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );