document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719359>Question 719359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangular rug is one foot smaller than its length. The area of the rug is 30 square feet. Find the length and the width. Whats this in feet??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441330 by </B><A HREF=/tutors/aboutme.mpl?userid=mathworm7271><B>mathworm7271(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathworm7271><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=mathworm7271><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=441330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's say x is the length<BR>\n" );
document.write( "then x-1 is the width<BR>\n" );
document.write( "We know that Area=Length(width)<BR>\n" );
document.write( "So, we substitute...<BR>\n" );
document.write( "30=x(x-1)<BR>\n" );
document.write( "Use the Distributive property<BR>\n" );
document.write( "30=x^2-x<BR>\n" );
document.write( "Subtract 30 from each side<BR>\n" );
document.write( "0=x^2-x-30<BR>\n" );
document.write( "Now we have to factor the Trinomial<BR>\n" );
document.write( "0=(x-6)(x+5)<BR>\n" );
document.write( "So that means either x-6=0 or x+5=0<BR>\n" );
document.write( "Distribute and x=6 or x=-5<BR>\n" );
document.write( "Since the length of a rug cannot be negative, x=6<BR>\n" );
document.write( "So, the length is 6 and the width is 6-1 which is 5.<BR>\n" );
document.write( "Make sure you have the proper units (feet) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );