document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048261>Question 1048261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A floor plan shows that the exterior of a room has dimensions 12 feet by 17 feet. If the area of the room measured from the interior is only 176 square feet, express the thickness of the surrounding walls in feet. (Assume that the walls have uniform thickness).<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663870 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=663870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The walls are of uniform thickness.<BR>\n" );
document.write( "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 thickness of the walls<BR>\n" );
document.write( "If I subtract <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 dimesion<BR>\n" );
document.write( "of the exterior walls, I will have the<BR>\n" );
document.write( "dimensions of the interior walls, so I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12+-+2x+%29%2A%28+17+-+2x+%29=+176+ ALIGN=MIDDLE  ALT=\"+%28+12+-+2x+%29%2A%28+17+-+2x+%29=+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+-+34x+-+24x+%2B+4x%5E2+=+176+ ALIGN=MIDDLE  ALT=\"+204+-+34x+-+24x+%2B+4x%5E2+=+176+\"   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+-+58x+%2B+28+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+-+58x+%2B+28+=+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+-+29x+%2B+14+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+-+29x+%2B+14+=+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+=+-29+ ALIGN=MIDDLE  ALT=\"+b+=+-29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+14+ ALIGN=MIDDLE  ALT=\"+c+=+14+\"   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+-%28-29%29+%2B-+sqrt%28+%28-29%29%5E2+-+4%2A2%2A14+%29%29+%2F+%282%2A2%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-%28-29%29+%2B-+sqrt%28+%28-29%29%5E2+-+4%2A2%2A14+%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+29+%2B-+sqrt%28+841+-+112+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+29+%2B-+sqrt%28+841+-+112+%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+29+%2B-+sqrt%28+729+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+29+%2B-+sqrt%28+729+%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+29+-+27+%29%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+29+-+27+%29%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+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The other possibility is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+29+%2B+27+%29%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+29+%2B+27+%29%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+=+56%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+56%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+=+14+ ALIGN=MIDDLE  ALT=\"+x+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ( this is impossible, since one wall is 12' long )<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The wall is 6 inches thick ( 1/2 ft )<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+12+-+2x+%29%2A%28+17+-+2x+%29=+176+ ALIGN=MIDDLE  ALT=\"+%28+12+-+2x+%29%2A%28+17+-+2x+%29=+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12+-+2%2A.5+%29%2A%28+17+-+2%2A.5+%29=+176+ ALIGN=MIDDLE  ALT=\"+%28+12+-+2%2A.5+%29%2A%28+17+-+2%2A.5+%29=+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12+-+1+%29%2A%28+17+-+1+%29+=+176+ ALIGN=MIDDLE  ALT=\"+%28+12+-+1+%29%2A%28+17+-+1+%29+=+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%2A16+=+176+ ALIGN=MIDDLE  ALT=\"+11%2A16+=+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+176+=+176+ ALIGN=MIDDLE  ALT=\"+176+=+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );