document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165103>Question 165103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of each side of square A is increased by 100% to make square B. If the length of the side of square B is increased by 50% to make square C, by what percent is the area of Square C greater than the sum of the areas of squares A and B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121699 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be a side of square a.<BR>\n" );
document.write( "2x is the length of a side of square b.<BR>\n" );
document.write( "3x is the length of a side of square c.<BR>\n" );
document.write( "A[a]=x^2<BR>\n" );
document.write( "A[b]=(2x)^2=4x^2<BR>\n" );
document.write( "A[c]=(3x)^2=9x^2<BR>\n" );
document.write( "9x^2/(x^2+4x^2)<BR>\n" );
document.write( "=9x^2/5x^2<BR>\n" );
document.write( "=9/5<BR>\n" );
document.write( "=1.8<BR>\n" );
document.write( "So, the area of triangle C is 80% greater than the sum of the areas of triangles A and B.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );