document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694717>Question 694717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangular picture 12cm by 10cm has a border of uniform width. if the area of the border is 168cm  squared, how wide is the border </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428143 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the uniform border is b cm<BR>\n" );
document.write( "so the picture 12cm by 10cm will be (12+2b)cm by (10+2b)cm with border<BR>\n" );
document.write( "now the area of the border = area of picture with border-are of picture<BR>\n" );
document.write( "or (12+2b)*(10+2b)-12*10=168 given<BR>\n" );
document.write( "or 120+2b(12+10)+4b^2-120=168<BR>\n" );
document.write( "or 4b^2+44b-168=0<BR>\n" );
document.write( "or b^2+11b-42=0<BR>\n" );
document.write( "or b^2+14b-3b-42=0<BR>\n" );
document.write( "or b(b+14)-3(b+14)=0<BR>\n" );
document.write( "or (b-3)(b+14)=0<BR>\n" );
document.write( "or b=3 or -14 (discarded)<BR>\n" );
document.write( "so the width of the border is 3 cms </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );