document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687430>Question 687430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the length of each side of a square is increased by 4 inches, the area of the square becomes 9 times greater. Find the perimeter 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 #425152 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=425152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if the length of each side of a square is increased by 4 inches, the area of the square becomes 9 times greater. Find the perimeter of the original square.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=original length of each side of a square<BR>\n" );
document.write( "x^2=area of original square<BR>\n" );
document.write( "(x+4)=side increased by 4<BR>\n" );
document.write( "(x+4)^2=area of larger square<BR>\n" );
document.write( "(x+4)^2=9x^2<BR>\n" );
document.write( "x^2+8x+16=9x^2<BR>\n" );
document.write( "8x^2-8x-16=0<BR>\n" );
document.write( "x^2-x-2=0<BR>\n" );
document.write( "(x-2)(x+1)=0<BR>\n" );
document.write( "x=-1(reject)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "perimeter of the original square=4x=8 inches </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );