document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904387>Question 904387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the areas of 2 squares is 53cm^2. The length of the side of the larger square is 5cm more than that of the smaller square. Find the length of a side of each square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548660 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> length of side of smaller square =x<BR>\n" );
document.write( "area = x^2\r<BR>\n" );
document.write( "\n" );
document.write( "length of side of larger square = (x+5)<BR>\n" );
document.write( "area = (x+5)^2\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+(x+5)^2=53\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+x^2+10x+25=53\r<BR>\n" );
document.write( "\n" );
document.write( "2x^2+10x-28=0<BR>\n" );
document.write( "2x^2+14x-4x-28=0\r<BR>\n" );
document.write( "\n" );
document.write( "2x(x+7)-4(x+7)=0\r<BR>\n" );
document.write( "\n" );
document.write( "(2x-4)(x+7)=0\r<BR>\n" );
document.write( "\n" );
document.write( "2(x-2)(x+7)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x=2cm is the side of smaller square\r<BR>\n" );
document.write( "\n" );
document.write( "2+5 =7cm is the length of side of larger square\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );