document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404199>Question 404199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a wire of length 100 cm is cut into two piece and each part is bent to form a square. if the sum of the areas of the two square is 425 cm^2 find the lenghts of the sides of the two squares </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285790 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a wire of length 100 cm is cut into two piece and each part is bent to form a square.<BR>\n" );
document.write( " if the sum of the areas of the two square is 425 cm^2 find the lengths of the sides of the two squares<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = side of one square<BR>\n" );
document.write( "Let y = side of the other square<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4x + 4y = 100<BR>\n" );
document.write( "simplify, divide by 4<BR>\n" );
document.write( "x + y = 25<BR>\n" );
document.write( "y = (25-x), use this for substitution<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x^2 + y^2 = 425<BR>\n" );
document.write( "Substitute (25-x) for y<BR>\n" );
document.write( "x^2 + (25-x)^2 = 425<BR>\n" );
document.write( "FOIL (25-x)(25-x)<BR>\n" );
document.write( "x^2 + 625 - 50x + x^2 = 425<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "x^2 + x^2 - 50x + 625 - 425 = 0<BR>\n" );
document.write( "2x^2 - 50x + 200 = 0<BR>\n" );
document.write( "(x-20)(2x-10) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "x = 20 is the side of one square<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5  is the side of one square<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find y<BR>\n" );
document.write( "25 - 20 = 5 is the side of the other square<BR>\n" );
document.write( "or<BR>\n" );
document.write( "25 - 5 = 20 is the side of the other square<BR>\n" );
document.write( ":<BR>\n" );
document.write( "anyway, one square side is 20, the other square side is 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if this is true<BR>\n" );
document.write( "4(20) + 4(5) = <BR>\n" );
document.write( "80 + 20 = 100<BR>\n" );
document.write( "and<BR>\n" );
document.write( "20^2 + 5^2 = 425<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );