document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230837>Question 230837</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 2ft longer than its width, then for what dimensions would  the length and width have  the golden rule. I was on this path:\r<BR>\n" );
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document.write( "8/5 = x+2/x but that didn't work out.\r<BR>\n" );
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document.write( "Can you help please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170963 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L/W = 8/5 is the golden ratio.\r<BR>\n" );
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document.write( "The length of a painting is 2 feet more than the width.\r<BR>\n" );
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document.write( "This makes L = W + 2\r<BR>\n" );
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document.write( "Golden ratio is L/W = 8/5\r<BR>\n" );
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document.write( "If L = W + 2, then the golden ratio becomes (W+2)/W = 8/5\r<BR>\n" );
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document.write( "Multiply both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "5 * (W + 2)/W = 8\r<BR>\n" );
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document.write( "Multiply both sides of this equation by W to get:\r<BR>\n" );
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document.write( "5 * (W + 2) = 8*W\r<BR>\n" );
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document.write( "Remove parentheses to get:\r<BR>\n" );
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document.write( "5W + 10 = 8W\r<BR>\n" );
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document.write( "Subtract 5W from both sides of this equation to get:\r<BR>\n" );
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document.write( "3W = 10\r<BR>\n" );
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document.write( "Divide both sides of this equation by 3 to get:\r<BR>\n" );
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document.write( "W = 10/3\r<BR>\n" );
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document.write( "If W = 10/3, then L = W + 2 = 10/3 + 2 = 10/3 + 6/3 = 16/3\r<BR>\n" );
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document.write( "L = 16/3<BR>\n" );
document.write( "W = 10/3\r<BR>\n" );
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document.write( "L/W = (16/3)/(10/3) = (16/3) * (3/10) = 16/10 = 8/5\r<BR>\n" );
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document.write( "You have the golden ratio when:\r<BR>\n" );
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document.write( "L = 16/3<BR>\n" );
document.write( "W = 10/3\r<BR>\n" );
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document.write( "L = W + 2 means L = 10/3 + 2 means L = 10/3 + 6/3 means L = 16/3\r<BR>\n" );
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document.write( "Both requirements are met.\r<BR>\n" );
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document.write( "L = W + 2<BR>\n" );
document.write( "L/W = 8/5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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