document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076230>Question 1076230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 29 centimeters less than six times its width.  Its area is 42 square centimeters.  Find the dimensions of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690896 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=690896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w be the width of the rectangle. Then its length is 6w-29. So:<BR>\n" );
document.write( "w(6w-29)=42<BR>\n" );
document.write( "6w²-29w-42=0<BR>\n" );
document.write( "(6w+7)(w-6)=0<BR>\n" );
document.write( "w=6 or -7/6<BR>\n" );
document.write( "Using the positive value for w, we get the dimensions of the rectangle to be 6 x 7 cms. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );