document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378151>Question 378151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The outside of a picture frame measures 8in by 12in. 60^2 of the picture shows. Find the thickeness of 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 #268713 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2C%0D%0Alocate%280%2C9.5%2C8%29%2Clocate%287%2C0%2C12%29%2C%0D%0Agreen%28line%28-6%2C6%2C6%2C6%29%29%2C%0D%0Agreen%28line%28-6%2C-6%2C6%2C-6%29%29%2C%0D%0Alocate%28-7%2C7.5%2Cx%29%2C%0D%0Alocate%28-5.5%2C6%2Cx%29%2C%0D%0Aline%28-6%2C-8%2C-6%2C8%29%2Cline%28-6%2C8%2C6%2C8%29%2Cline%286%2C8%2C6%2C-8%29%2Cline%286%2C-8%2C-6%2C-8%29%2Cline%28-4%2C-6%2C-4%2C6%29%2Cline%28-4%2C6%2C4%2C6%29%2Cline%284%2C6%2C4%2C-6%29%2Cline%284%2C-6%2C-4%2C-6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The outside area would be <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=8%2A12=96 ALIGN=MIDDLE  ALT=\"A=8%2A12=96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the frame area is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bf%5D=96-60=36 ALIGN=MIDDLE  ALT=\"A%5Bf%5D=96-60=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the frame area is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%288x%29%2B2%28x%2812-2x%29%29 ALIGN=MIDDLE  ALT=\"A=2%288x%29%2B2%28x%2812-2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=16x%2B24x-4x%5E2 ALIGN=MIDDLE  ALT=\"A=16x%2B24x-4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-4x%5E2%2B40x ALIGN=MIDDLE  ALT=\"A=-4x%5E2%2B40x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equate the two,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2%2B40x=36 ALIGN=MIDDLE  ALT=\"-4x%5E2%2B40x=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x%2B9=0 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-9%29=0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1=0 ALIGN=MIDDLE  ALT=\"x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The second solution (x=9) would not make sense since the frame is only 8 inches wide.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );