document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771700>Question 771700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square painting is surrounded by a 3-centimeter wide frame. If the total area of the painting plus frame is 961 cm^2, find the dimensions of the painting. Please show the representation, equation and the solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470444 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=470444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the painting is square and is surrounded<BR>\n" );
document.write( "by a 3cm wide frame.<BR>\n" );
document.write( "The four sides of the painting + frame<BR>\n" );
document.write( "can be represented by 4 *(x + 6)<BR>\n" );
document.write( "The area of a square = length * width<BR>\n" );
document.write( "Area = (x + 6)(x + 6)<BR>\n" );
document.write( "961 = x^2 + 12x + 36<BR>\n" );
document.write( "Rearranging<BR>\n" );
document.write( "x^2 + 12x + 36 - 961 = 0<BR>\n" );
document.write( "x^2 + 12x - 925 = 0<BR>\n" );
document.write( "(x + 37)(x - 25) = 0<BR>\n" );
document.write( "x + 37 = 0<BR>\n" );
document.write( "x = -37 (no answer as x <0)<BR>\n" );
document.write( "x - 25 = 0<BR>\n" );
document.write( "x = 25<BR>\n" );
document.write( "Therefore, the dimensions of the painting<BR>\n" );
document.write( "without its frame is 25cm by 25cm<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );