document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757744>Question 757744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular portrait is 3 inches longer than it is wide. A 3 inch frame of uniform width is to be placed around the portrait. The area of the portrait and frame is 108in^2. Find the dimensions of the portrait without 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 #461068 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=461068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> letbthe width is x\" then the length is x+3\"<BR>\n" );
document.write( "A 3 inch frame of uniform width is to be placed around the portrait i.e on both length & width will increase by 3\"<BR>\n" );
document.write( "so the dimension of the portrait with frame will be L=x+3+3\" & W=x+3\"<BR>\n" );
document.write( "so the area=(x+3)(x+6)=108 <BR>\n" );
document.write( "or x^2+9x+18=108<BR>\n" );
document.write( "or x^2+9x-90=0<BR>\n" );
document.write( "or x^2+15x-6x-90=0<BR>\n" );
document.write( "or x(x+15)-6(x+15)=0<BR>\n" );
document.write( "or (x+15)(x-6)=0<BR>\n" );
document.write( "or x=6 or -15<BR>\n" );
document.write( "so x= 6 rejecting -ve value<BR>\n" );
document.write( "so the dimensions of the portrait without the frame w=6\" & l=6+3=9\" </SPAN>\n" );
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