document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982085>Question 982085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A new square is formed by joining the midpoints of the consecutive<BR>\n" );
document.write( "sides of a square 8 inches on a side. If the process is continued until<BR>\n" );
document.write( "there are already six squares, find the sum of the areas of all squares<BR>\n" );
document.write( "in square inches. thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603040 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=603040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the  side of the outer most square is 8\r<BR>\n" );
document.write( "\n" );
document.write( "area = 64\r<BR>\n" );
document.write( "\n" );
document.write( "the side of the first inner square = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%5E2%2B4%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%284%5E2%2B4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Area of first inner square = 32\r<BR>\n" );
document.write( "\n" );
document.write( "Every inner square is half in area of the outer square\r<BR>\n" );
document.write( "\n" );
document.write( "6 squares<BR>\n" );
document.write( "54,32,16,8,4,2\r<BR>\n" );
document.write( "\n" );
document.write( "Add them up 116 in^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );