document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151231>Question 1151231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an american flag has the shape of the golden rectangle. the flags longer side is 5 feet less than twice the length of its shorter side. find the dimensions of the flag, rounded to the nearest foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772908 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=772908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make 2 lengths add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "be in golden ratio to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2F+%28+1+-+x+%29+=+%28+1+-+x+%29+%2F+1+ ALIGN=MIDDLE  ALT=\"+x+%2F+%28+1+-+x+%29+=+%28+1+-+x+%29+%2F+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+1+-+x+%29%5E2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+1+-+x+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1+-+2x+%2B+x%5E2+ ALIGN=MIDDLE  ALT=\"+x+=+1+-+2x+%2B+x%5E2+\"   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+-+3x+%2B+1+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+%2B+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=+x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+x+=+%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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-%28-3%29+%2B-+sqrt%28+9+-+4%2A1%2A1+%29%29+%2F+%28+2%2A1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-%28-3%29+%2B-+sqrt%28+9+-+4%2A1%2A1+%29%29+%2F+%28+2%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=+x+=+%28+3+-+sqrt%28+5+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+3+-+sqrt%28+5+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+x+=+2%2F2+-+%28+3+-+sqrt%285%29+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+1+-+x+=+2%2F2+-+%28+3+-+sqrt%285%29+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+x+=+%28+2+-+3+%2B+sqrt%285%29+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+1+-+x+=+%28+2+-+3+%2B+sqrt%285%29+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+x+=+%28+-1+%2B+sqrt%285%29+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+1+-+x+=+%28+-1+%2B+sqrt%285%29+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "Let the length of the shorter side = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+-+5+ ALIGN=MIDDLE  ALT=\"+2y+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length of the longer side<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2F+%28+2y+-+5+%29+=+%28++%28+3+-+sqrt%28+5+%29%29+%2F+2+%29+%2F+%28++%28+-1+%2B+sqrt%285%29+%29+%2F+2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2F+%28+2y+-+5+%29+=+%28++%28+3+-+sqrt%28+5+%29+%29+%29+%2F+%28++%28+-1+%2B+sqrt%285%29+%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2F+%28+2y+-+5+%29+=+%28+3+-+2.2361+%29+%2F+%28+-1+%2B+2.2361+%29+ ALIGN=MIDDLE  ALT=\"+y+%2F+%28+2y+-+5+%29+=+%28+3+-+2.2361+%29+%2F+%28+-1+%2B+2.2361+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2F+%28+2y+-+5+%29+=+.7639+%2F+1.2361+ ALIGN=MIDDLE  ALT=\"+y+%2F+%28+2y+-+5+%29+=+.7639+%2F+1.2361+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2F+%28+2y+-+5+%29+=+.618+ ALIGN=MIDDLE  ALT=\"+y+%2F+%28+2y+-+5+%29+=+.618+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+.618%2A%28+2y+-+5+%29+ ALIGN=MIDDLE  ALT=\"+y+=+.618%2A%28+2y+-+5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1.236y+-+3.09+ ALIGN=MIDDLE  ALT=\"+y+=+1.236y+-+3.09+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.236y+=+3.09+ ALIGN=MIDDLE  ALT=\"+.236y+=+3.09+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+13.093+ ALIGN=MIDDLE  ALT=\"+y+=+13.093+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+-+5+=+2%2A13.093+-+5+ ALIGN=MIDDLE  ALT=\"+2y+-+5+=+2%2A13.093+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+-+5+=+26.186+-+5+ ALIGN=MIDDLE  ALT=\"+2y+-+5+=+26.186+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+-+5+=+21.186+ ALIGN=MIDDLE  ALT=\"+2y+-+5+=+21.186+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To the nearest foot, the dimensions are<BR>\n" );
document.write( "13 x 21<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "check the math & get 2nd opinion if needed\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );