document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183801>Question 183801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a picture is 1 inch less than twice its width.  The frame around the picture has a uniform width of 2 inches and an area of 96 square inches.  What are the dimensions of the picture?\r<BR>\n" );
document.write( "\n" );
document.write( "Here's what I tried.\r<BR>\n" );
document.write( "\n" );
document.write( "L =  2w-1<BR>\n" );
document.write( "W = 2<BR>\n" );
document.write( "A = LXW = 96\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "L = 2(2) -1<BR>\n" );
document.write( "L = 4-1<BR>\n" );
document.write( "L = 3 \r<BR>\n" );
document.write( "\n" );
document.write( "doesn't make sense though\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for the help!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137921 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=137921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a picture is 1 inch less than twice its width. The frame around the picture has a uniform width of 2 inches and an area of 96 square inches. What are the dimensions of the picture? <BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Draw the picture of a rectangle inside a rectangle.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Label the length and the width of the inner rectangle.<BR>\n" );
document.write( "Let width = w<BR>\n" );
document.write( "Then length= 2w - 1<BR>\n" );
document.write( "Area of the inner rectangle = w(2w-1) = 2w^2-w sq. in.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Label the length and width of the outer rectangle.<BR>\n" );
document.write( "Width is w + 4 inches<BR>\n" );
document.write( "Length is 2w-1+4 = 2w +3 inches<BR>\n" );
document.write( "Area of the outer rectangle = (w+4)(2w+3) = 2w^2+7w+12 sq. in.\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Area of the picture = outer rectangle area - inner rectangle area<BR>\n" );
document.write( "96 = 2w^2+7w+12 -(2w^2-w)<BR>\n" );
document.write( "8w + 12 = 96<BR>\n" );
document.write( "2w + 3 = 24<BR>\n" );
document.write( "2w = 21<BR>\n" );
document.write( "w = 21/2 inches (width of the picture)<BR>\n" );
document.write( "L = 2w-1 = 21-1 = 20 (length of picture)\r<BR>\n" );
document.write( "\n" );
document.write( "=====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );