document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=304715>Question 304715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was approximately 8 to 5, the golden ratio.  If the length of a rectangular painting is 2 ft. longer than its width, then for what dimensions would the length and width have the golden ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218241 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=218241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the most pleasing shape for a rectangle was one for which the ratio of the length <BR>\n" );
document.write( "to the width was approximately 8 to 5, the golden ratio.<BR>\n" );
document.write( " If the length of a rectangular painting is 2 ft. longer than its width,<BR>\n" );
document.write( " then for what dimensions would the length and width have the golden ratio?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = the width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+2) = the length<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2Fx ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "8x = 5(x+2)<BR>\n" );
document.write( "8x = 5x + 10<BR>\n" );
document.write( "8x - 5x = 10<BR>\n" );
document.write( "3x = 10<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 3<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;\" > ft is the width, then 5<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;\" > ft is the length, the golden ratio </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );