document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018176>Question 1018176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 24 cm^2, what is the length of the diagonal?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634337 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 24 cm^2, what is the length of the diagonal? <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "length = \"x\"<BR>\n" );
document.write( "width = \"2x-6\"<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x(2x-6) = 24<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2x^2 - 6x - 24 = 0<BR>\n" );
document.write( "x^2-3x-12 = 0<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "x = [3+-sqrt(9-4*-12)]/2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "x = length = [3+-sqrt(57)]/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "width = 2[length]-6<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "diagonal = sqrt[length^2 + width^2]<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );