document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215506>Question 215506</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073206042/algebrahomeworkh>Elementary & 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 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 #162912 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=162912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The golden ratio. The ancient Greeks thought that the most pleasing shape for a<BR>\n" );
document.write( " rectangle 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 rectangular painting is 2 ft longer than its width, then for<BR>\n" );
document.write( " what dimensions would the length and width have the golden ratio?<BR>\n" );
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document.write( "Let x = width of the painting<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+2) = length of the painting<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply, results<BR>\n" );
document.write( "8x = 5(x+2)<BR>\n" );
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document.write( "8x = 5x + 10<BR>\n" );
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document.write( "8x - 5x = 10<BR>\n" );
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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;\" > units wide<BR>\n" );
document.write( "and<BR>\n" );
document.write( "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;\" > units long<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "5/8 = .625<BR>\n" );
document.write( "3.3333/5.3333 = .64998 ~ .625 </SPAN>\n" );
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