document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066600>Question 1066600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 300 square feet of carpeting. What dimensions should the rug&#8203; have? The dimensions of the rug should be blank ft. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681834 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The room is 18 x 31 feet, yielding an area of 558 sq.ft. Let w be the width of the strip of bare floor around the carpet. Then:<BR>\n" );
document.write( "(31-2w)(18-2w)=300<BR>\n" );
document.write( "558-98w+4w²=300<BR>\n" );
document.write( "4w²-98w+258=0<BR>\n" );
document.write( "2w²-49w+129=0<BR>\n" );
document.write( "(2w-43)(w-3)=0<BR>\n" );
document.write( "w=43/2 or 3<BR>\n" );
document.write( "Picking the most logical choice, we choose 3 ft. as the width of the strip, giving us a rug of 31-6 x 18-6, or 25' x 12' ft (300 sq.ft.). &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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