document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822143>Question 822143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a piece of wire 20 ft long is cut into 2 pieces so that the sum of the squares of the length of each piece is 202 . find the length of each piece  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494747 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set x = length of one piece .<BR>\n" );
document.write( "The length of the second piece is  20 - x .\r<BR>\n" );
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document.write( "x^2 + ( 20 - x )^2 = 202<BR>\n" );
document.write( "x^2 + 400 - 40x + x^2 = 202<BR>\n" );
document.write( "2x^2 - 40x + 400 = 202<BR>\n" );
document.write( "Subtract 202 from each side.<BR>\n" );
document.write( "2x^2 - 40x + 198 = 0<BR>\n" );
document.write( "Divide each side by 2<BR>\n" );
document.write( " x^2 - 20x + 99 = 0<BR>\n" );
document.write( " (x - 9)(x - 11) = 0<BR>\n" );
document.write( "So x = 9 or x = 11<BR>\n" );
document.write( "And we can see that our requirements<BR>\n" );
document.write( "are satisfied when the piece lengths are 9 and 11.<BR>\n" );
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