document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257662>Question 257662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangular picture is 4 less than twice its width. it is placed in a wooden frame with a unifiorm width of 2 inches. The perimeter of the picture frame is 102 inches. what is the dimension of the rectangular picture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189724 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=189724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangular picture is 4 less than twice its width.<BR>\n" );
document.write( " it is placed in a wooden frame with a uniform width of 2 inches.<BR>\n" );
document.write( " The perimeter of the picture frame is 102 inches.<BR>\n" );
document.write( " what is the dimension of the rectangular picture?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the width<BR>\n" );
document.write( "it states:\"the length of a rectangular picture is 4 less than twice its width.\"<BR>\n" );
document.write( "Therefore: <BR>\n" );
document.write( "L = (2x - 4)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Perimeter<BR>\n" );
document.write( "2L + 2x = 102<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "L + x = 51<BR>\n" );
document.write( "Replace L with (2x-4), find x:<BR>\n" );
document.write( "2x - 4 + x = 51<BR>\n" );
document.write( "3x = 51 + 4<BR>\n" );
document.write( "3x = 55 <BR>\n" );
document.write( "x = 55/3<BR>\n" );
document.write( "x = 18<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches is the frame width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "L = 2(18<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 4<BR>\n" );
document.write( "L = 36<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "L = 32<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches is the frame length<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A picture frame with 2 inches width all around, subtract 4 inches<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "18<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4 =  14<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > picture width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "32<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4 =  28<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > picture length<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Note to students response.<BR>\n" );
document.write( " Actually I think you have to subtract 16\" from the frame perimeter to get the picture perimeter.<BR>\n" );
document.write( "Then the picture length and width will agree. (86\")\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );