document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206775>Question 206775</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The Golden Ratio. The ancient Greeks thought that the most pleasing shape for a rectangel 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 rectangle painting is 2 feet longer than its width, then for what dimensions would the length and the width have to the golden ratio? Ok, the ratio is L=8 to W=5. However, the length is 2 feet more, so is the L=8+2 and W=5. Would the golden ratio be 10 to 5? I am lost.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156306 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=156306\">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 rectangel was one for which the ratio of the length to the width was approximately 8 to 5, the golden ratio. <BR>\n" );
document.write( "If the length of a rectangle painting is 2 feet longer than its width, then for what dimensions would the length and the width have to the golden ratio? <BR>\n" );
document.write( "Ok, the ratio is L=8 to W=5. However, the length is 2 feet more, so is the L=8+2 and W=5. Would the golden ratio be 10 to 5?<BR>\n" );
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document.write( "Let the width be \"x\" ft.<BR>\n" );
document.write( "Then the length is \"x+2\" ft<BR>\n" );
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document.write( "Proportion:<BR>\n" );
document.write( "(x+2)/x = 8/5<BR>\n" );
document.write( "8x = 5(x+2)<BR>\n" );
document.write( "8x = 5x + 10<BR>\n" );
document.write( "3x = 10<BR>\n" );
document.write( "x = 3 1/3 ft (this is the width)<BR>\n" );
document.write( "x+2 = 5 1/3 ft (this is the length)<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );