document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171739>Question 171739</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry: Structure and Method-Book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered. If the rug is to cover half of the floor space, what should the dimensions of the rug be?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126850 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=126850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the width of the uniform space around the<BR>\n" );
document.write( "rug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The dimensions of the rug will then be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289+-+2x%29%2A%2812+-+2x%29 ALIGN=MIDDLE  ALT=\"%289+-+2x%29%2A%2812+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Half of the area of the 9 x 12 room is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2A12%29%2F2+=+54 ALIGN=MIDDLE  ALT=\"%289%2A12%29%2F2+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54+=+%289+-+2x%29%2A%2812+-+2x%29 ALIGN=MIDDLE  ALT=\"54+=+%289+-+2x%29%2A%2812+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54+=+108+-+24x+-+18x+%2B+4x%5E2 ALIGN=MIDDLE  ALT=\"54+=+108+-+24x+-+18x+%2B+4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54+=+108+-+42x+%2B+4x%5E2 ALIGN=MIDDLE  ALT=\"54+=+108+-+42x+%2B+4x%5E2\"   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+-+42x+%2B+54+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+42x+%2B+54+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve using 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+=+4 ALIGN=MIDDLE  ALT=\"a+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-42 ALIGN=MIDDLE  ALT=\"b+=+-42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+54 ALIGN=MIDDLE  ALT=\"c+=+54\"   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-%28-42%29+%2B-+sqrt%28+%28-42%29%5E2-4%2A4%2A54+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-42%29+%2B-+sqrt%28+%28-42%29%5E2-4%2A4%2A54+%29%29%2F%282%2A4%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+=+%2842+%2B-+sqrt%28+1764+-+864+%29%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%2842+%2B-+sqrt%28+1764+-+864+%29%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2842+%2B-+sqrt%28+900+%29%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%2842+%2B-+sqrt%28+900+%29%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2842+%2B+30%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%2842+%2B+30%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2842+-+30%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%2842+-+30%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "The answers are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1.5 ALIGN=MIDDLE  ALT=\"x+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 1st answer is impossible, so the width of<BR>\n" );
document.write( "the border around the rug is 1.5 m<BR>\n" );
document.write( "The dimensions of the rug are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289+-+2%2A1.5%29%2A%2812+-+2%2A1.5%29 ALIGN=MIDDLE  ALT=\"%289+-+2%2A1.5%29%2A%2812+-+2%2A1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289+-+3%29%2A%2812+-+3%29 ALIGN=MIDDLE  ALT=\"%289+-+3%29%2A%2812+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A9+=+54 ALIGN=MIDDLE  ALT=\"6%2A9+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The dimensions of the rug are 6m x 9m </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );