document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62270>Question 62270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rectangular tabletop has a width that is two feet less than four times its length. If the area of the tabletop is 20ft^2, what are the dimensions of the tabletop? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43003 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area = (length)(width) [use the formula for the area of a rectangle]<BR>\n" );
document.write( "Area = 20 ft^2<BR>\n" );
document.write( "Length=L<BR>\n" );
document.write( "Width=4L-2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "20=(L)(4L-2)[plug-in the values]<BR>\n" );
document.write( "20=4L^2-2L [simplify]<BR>\n" );
document.write( "0=4L^2-2L-20 [set the equation equal to zero and factor using the quadratic equation]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "L=2.5[use this answer since it is a positive measurement]<BR>\n" );
document.write( "L=-2.00 [eliminate this answer since measurements cannot be negative]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Length = 2.5<BR>\n" );
document.write( "Width = 4L-2=(4)(2.5)-2=8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check by plugging all of the values back into the formula for the area of a rectangle:<BR>\n" );
document.write( "Area = (2.5)(8)<BR>\n" );
document.write( "A=20 [checks out] </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );