document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529799>Question 529799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle exceeds the width by 2cm. If the diagonal is 10cm long, find the 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 #349730 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let l and w be the length and width respectively. Let d be the diagonal.\r<BR>\n" );
document.write( "\n" );
document.write( "l = w+2\r<BR>\n" );
document.write( "\n" );
document.write( "Then look at this diagram:\r<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF=\"http://s57.photobucket.com/albums/g215/swincher4391/?action=view&amp;current=awesome4.png\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i57.photobucket.com/albums/g215/swincher4391/awesome4.png\" border=\"0\" alt=\"Photobucket\"></a>\r<BR>\n" );
document.write( "\n" );
document.write( "Notice we have a right triangle.\r<BR>\n" );
document.write( "\n" );
document.write( "Then w^2 + (w+2)^2 = (10)^2\r<BR>\n" );
document.write( "\n" );
document.write( "w^2 + w^2 + 4w + 4 = 100\r<BR>\n" );
document.write( "\n" );
document.write( "2w^2 + 4w -96  = 0\r<BR>\n" );
document.write( "\n" );
document.write( "2(w^2 + 2w - 48) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "2(w+8)(w-6) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "w = -8 and w = 6\r<BR>\n" );
document.write( "\n" );
document.write( "Can't have a negative width, so  w=6.\r<BR>\n" );
document.write( "\n" );
document.write( "Thus our width is 6cm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );