document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184432>Question 184432</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 recangular painting is 2ft 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 #138427 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138427\">put this solution on YOUR website!</A><BR><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 recangular painting is 2ft longer than its width, then for what dimensions would the length and width have the golden ratio?<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "length/width = 8/5<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(x+2)/x = 8/5<BR>\n" );
document.write( "5(x+2) = 8x<BR>\n" );
document.write( "5x + 10 = 8x<BR>\n" );
document.write( "6x = 10<BR>\n" );
document.write( "x = 5/2 ft (width)<BR>\n" );
document.write( "x+2 = 9/2 ft (length)<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );