document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198616>Question 1198616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is the length minus 6 units. The area of the rectangle is 27 units. What is the length and width 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 #832242 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = area<BR>\n" );
document.write( "L = length<BR>\n" );
document.write( "W = width\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = L * W<BR>\n" );
document.write( "W = L - 6<BR>\n" );
document.write( "A = L * (L - 6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = 27<BR>\n" );
document.write( "27 = L * (L - 6)<BR>\n" );
document.write( "L * (L - 6) = L^2 - 6L<BR>\n" );
document.write( "27 = L^2 - 6L<BR>\n" );
document.write( "subtract 27 from both sides of that equation to get:<BR>\n" );
document.write( "L^2 - 6L - 27 = 0<BR>\n" );
document.write( "factor that quadratic equation to get:<BR>\n" );
document.write( "(L - 9) * (L + 3) = 0<BR>\n" );
document.write( "L = 9 or L = -3.<BR>\n" );
document.write( "L can't be -3, so L = 9<BR>\n" );
document.write( "W = L - 6 makes W = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "dimensions are:<BR>\n" );
document.write( "L = 9<BR>\n" );
document.write( "W = 3<BR>\n" );
document.write( "A = L * W = 9 * 3 = 27\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "length of the rectangle is 9 units and width of the rectangle is 3 units.<BR>\n" );
document.write( "that's your solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "requirements of the problem are solved, since length of 9 units minus 6 units is equal to 3 units which is the width.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );