document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092130>Question 1092130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A framed picture is 7 inches longer than wide.  The width of frame is 5 inches.  Total area is 470 square inches.  Determine outside dimensions of framed picture. \r<BR>\n" );
document.write( "\n" );
document.write( "Area = length * width \r<BR>\n" );
document.write( "\n" );
document.write( "w = width \r<BR>\n" );
document.write( "\n" );
document.write( "l = w + 7 \r<BR>\n" );
document.write( "\n" );
document.write( "Not sure how to include frame width.\r<BR>\n" );
document.write( "\n" );
document.write( "(w + 7)(w) = 470 \r<BR>\n" );
document.write( "\n" );
document.write( "w^2 + 7w = 470 \r<BR>\n" );
document.write( "\n" );
document.write( "Not sure from here.  Non-homework. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706669 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=706669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L = the length of the picture<BR>\n" );
document.write( "w = the width of the picture<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A framed picture is 7 inches longer than wide.<BR>\n" );
document.write( "L = w + 7<BR>\n" );
document.write( " The width of frame is 5 inches. Total area is 470 square inches<BR>\n" );
document.write( "This would add 10 inches to both length and width<BR>\n" );
document.write( "(L+10)*(w+10) = 470<BR>\n" );
document.write( "Replace L with (w+7)<BR>\n" );
document.write( "((w+7)+10)*(w+10)<BR>\n" );
document.write( "(w+17)*(w+10) = 470<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "w^2 + 10w + 17w + 170 = 470<BR>\n" );
document.write( "w^2 + 27w + 170 - 470 = 0<BR>\n" );
document.write( "w^2 + 27w - 300 = 0<BR>\n" );
document.write( "Using the quadratic formula, the positive solution <BR>\n" );
document.write( "w = 8.46 in is the width of the picture<BR>\n" );
document.write( "then<BR>\n" );
document.write( "L = 8.46 + 7 = 15.46 in is the length of the picture<BR>\n" );
document.write( " \" Determine outside dimensions of framed picture.<BR>\n" );
document.write( "Add 10\" to each dimension<BR>\n" );
document.write( "25.46\" by 18.46\" the overall dimensions<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check 25.46 * 18.46 = 469.99 ~ 470  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );