document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476973>Question 476973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A picture 18 cm by 15 cm, has a uniform frame around it. If the area of the frame is 234 cm , find the dimension 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 #327020 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=327020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A picture 18 cm by 15 cm, has a uniform frame around it. If the area of the frame is 234 cm , find the dimension of the frame.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x= width of frame<BR>\n" );
document.write( "width of frame with picture=15+2x<BR>\n" );
document.write( "length of frame with picture=18+2x<BR>\n" );
document.write( "Area of frame with picture=(18+2x)(15+2x)=(270+66x+4x^2)<BR>\n" );
document.write( "Area of picture alone=18*15=270<BR>\n" );
document.write( "Area of frame with picture-Area of picture alone=234<BR>\n" );
document.write( "270+66x+4x^2-270=234<BR>\n" );
document.write( "4x^2+66x-234=0<BR>\n" );
document.write( "2x^2+33-117=0<BR>\n" );
document.write( "(x-3)(2x+39)<BR>\n" );
document.write( "x=3 cm<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-39/2=-19.5(reject, x>0)<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "Width of frame= 3 cm with outside dimensions 21 by 24 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );