document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441579>Question 441579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ms. Theodorou wants to hang a portrait of Mr Fucheck in the hallway. <BR>\n" );
document.write( "The length of the picture is (x+2) and the width of the picture is (x+1).<BR>\n" );
document.write( "Ms Cavazzi will build a frame out of wood. The Frame will have a 2 inch border.<BR>\n" );
document.write( "The area of that entire Portrait will cover is 272 inches square. Find the dimensions of the picture.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304974 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ms. Theodorou wants to hang a portrait of Mr Fucheck in the hallway.<BR>\n" );
document.write( "The length of the picture is (x+2) and the width of the picture is (x+1).<BR>\n" );
document.write( "Ms Cavazzi will build a frame out of wood. The Frame will have a 2 inch border.<BR>\n" );
document.write( "The area of that entire Portrait will cover is 272 inches square.<BR>\n" );
document.write( " Find the dimensions of the picture.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A 2\" border will add 4\" to each picture dimension<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "(x+2) + 4 = (x+6); overall length<BR>\n" );
document.write( "(x+1) + 4 = (x+5); overall width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Entire area<BR>\n" );
document.write( "(x+6)*(x+5) = 272<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "x^2 + 6x + 5x + 30 = 272<BR>\n" );
document.write( "x^2 + 11x + 30 - 272 = 0<BR>\n" );
document.write( "x^2 + 11x - 242 = 0<BR>\n" );
document.write( "You can solve this using the quadratic formula: a=1; b=11; c=-242<BR>\n" );
document.write( "But it will factor to<BR>\n" );
document.write( "(x+22)(x-11) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "x = 11<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "11 + 2 = 13\" is the length of the picture<BR>\n" );
document.write( "11 + 1 = 12\" is the width<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the overall area with these values<BR>\n" );
document.write( "(13+4)*(12+4) = 272 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );