document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084953>Question 1084953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 19 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 210 square feet of carpeting. What dimensions should the rug&#8203; have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698974 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=698974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w be the width of the strip. Then the dimensions of the rug would be 19-2w and 18-2w. So:<BR>\n" );
document.write( "(19-2w)(18-2w)=210<BR>\n" );
document.write( "342-74w+4w²=210<BR>\n" );
document.write( "4w²-74w+132=0<BR>\n" );
document.write( "(2w-33)(2w-4)=0<BR>\n" );
document.write( "w=33/2 or 2<BR>\n" );
document.write( "A width of 2 ft for the strip gives rug dimensions of 15 ft. x 14 ft. &#9786;&#9786;&#9786;&#9786;<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );