document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82612>Question 82612</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a picture frame is 20cm by 12cm. there are 84cm (to the second power) showing. find the width 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 #59222 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 20X12 cm are the outside dimensions of the frame<BR>\n" );
document.write( "84 cm2 is the area of the frame<BR>\n" );
document.write( "Call the width w<BR>\n" );
document.write( "divide the top bottom and 2 sides into strips<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20w+%2B+20w+%2B+%2812-2w%29%2Aw+%2B+%2812-2w%29%2Aw+=+84 ALIGN=MIDDLE  ALT=\"20w+%2B+20w+%2B+%2812-2w%29%2Aw+%2B+%2812-2w%29%2Aw+=+84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40w+%2B+2w%2A%2812-2w%29+=+84 ALIGN=MIDDLE  ALT=\"40w+%2B+2w%2A%2812-2w%29+=+84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40w+%2B+24w+-+4w%5E2+=+84 ALIGN=MIDDLE  ALT=\"40w+%2B+24w+-+4w%5E2+=+84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "rearranging<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2+-+64w+%2B+84+=+0 ALIGN=MIDDLE  ALT=\"4w%5E2+-+64w+%2B+84+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+-+16w+%2B+21+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+-+16w+%2B+21+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-16 ALIGN=MIDDLE  ALT=\"b+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+21 ALIGN=MIDDLE  ALT=\"c+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2816+%2B-+sqrt%28+%28-16%29%5E2-4%2A1%2A21+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"w+=+%2816+%2B-+sqrt%28+%28-16%29%5E2-4%2A1%2A21+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2816+%2B-+sqrt%28256-84+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"w+=+%2816+%2B-+sqrt%28256-84+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2816+%2B-+sqrt%28172%29%29%2F2+ ALIGN=MIDDLE  ALT=\"w+=+%2816+%2B-+sqrt%28172%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2816+%2B+13.11%29+%2F+2 ALIGN=MIDDLE  ALT=\"w+=+%2816+%2B+13.11%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2816+-+13.11%29+%2F+2 ALIGN=MIDDLE  ALT=\"w+=+%2816+-+13.11%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 1st answer doesn't make sense, so pick the 2nd<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+2.89%2F2 ALIGN=MIDDLE  ALT=\"w+=+2.89%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+1.44 ALIGN=MIDDLE  ALT=\"w+=+1.44\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm answer </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );