document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=650070>Question 650070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When each side of a given square is increased by 4 feet the are is increased by 64 square feet. Determine the dimensions of the original square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407156 by </B><A HREF=/tutors/aboutme.mpl?userid=shweta><B>shweta(56)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=shweta><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the side of a square be 's'feet<BR>\n" );
document.write( "Area of the square= s*s=s^2 feet<BR>\n" );
document.write( "Now side increases by 4 feet, s+ 4<BR>\n" );
document.write( "The area also increases by 64 feet<BR>\n" );
document.write( "We get, <BR>\n" );
document.write( " (s+4)^2= s^2 + 64  ...(1)<BR>\n" );
document.write( " Apply the formula (a+b)^2= a^2 +b^2+ 2*a*b<BR>\n" );
document.write( " s^2 + 4^2+ 2*s*4= s^2+ 64<BR>\n" );
document.write( "s^2 on both the sides get cancelled<BR>\n" );
document.write( " 4^2+ 8s= 64<BR>\n" );
document.write( " 16+ 8s= 64<BR>\n" );
document.write( " We have to shift the variable on one side and the numbers on the other side of 'equal to'sign<BR>\n" );
document.write( " 8s= 64- 16<BR>\n" );
document.write( " 8s= 48<BR>\n" );
document.write( "  s= 48/8 ( here 48 is divided by 8 because on the other side of 'equal to' sign 8 was multiplied to s)<BR>\n" );
document.write( "  s=6<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );