document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82748>Question 82748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painting measuring 12 inches by 18 inches is surrounded by a frame of uniform width. If the combined area of the painting and the frame is 432 square inches, determine the width of the frame.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59451 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=59451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (12+2x)(18+2x)=432<BR>\n" );
document.write( "216+36x+24x+4x^2=432<BR>\n" );
document.write( "4x^2+60x+216-432=0<BR>\n" );
document.write( "4x^2+60x-216=0<BR>\n" );
document.write( "x^2+15x-54=0<BR>\n" );
document.write( "(x-18)(x+3)=0<BR>\n" );
document.write( "x-18=0<BR>\n" );
document.write( "x=18 not an answer.<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "x=3 answer for the width of the frame.<BR>\n" );
document.write( "proof<BR>\n" );
document.write( "(12+6)(18+6)=432<BR>\n" );
document.write( "18*24=432<BR>\n" );
document.write( "432=432\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );