document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146916>Question 146916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am trying to understand how you would write out this problem to work it:  Thanks for your help, Reuben </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107295 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=107295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> width = w<BR>\n" );
document.write( "length = 100 + w<BR>\n" );
document.write( "c^2 = a^2 + b^2<BR>\n" );
document.write( "500^2 = (w)^2 + (100 + w)^2<BR>\n" );
document.write( "250,000 = w^2 + 10,000 + 200w + w^2<BR>\n" );
document.write( "0 = 2w^2 + 200w - 240,000<BR>\n" );
document.write( "0 = w^2 + 100w - 120,000<BR>\n" );
document.write( "w = ( -100 +- sqrt( 10,000 + 480,000 ) ) / 2<BR>\n" );
document.write( "w = ( -100 +- sqrt( 490,000 ) ) / 2<BR>\n" );
document.write( "w = ( -100 +- 700 ) / 2<BR>\n" );
document.write( "w = -800 and w = 300<BR>\n" );
document.write( "Length can only be positive. w = 300<BR>\n" );
document.write( "length = 100 + 300 = 400<BR>\n" );
document.write( "300ft by 400ft </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );