document.write( "Question 147114: 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 8 to 5, the golden ration. If the length of a rectangular painting is 2 ft longer that it's width, then for what dimensions would the length and the width have the golden ratio? \n" ); document.write( "
Algebra.Com's Answer #107486 by Nate(3500)\"\" \"About 
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width = x
\n" ); document.write( "length = 2 + x
\n" ); document.write( "Length / Width = Length / Width
\n" ); document.write( "(2 + x) / x = 8 / 5
\n" ); document.write( "10 + 5x = 8x
\n" ); document.write( "10 = 3x
\n" ); document.write( "10/3 = x
\n" ); document.write( "width = x = 10/3 ft
\n" ); document.write( "length = 2 + x = 2 + 10/3 = 16/3 ft
\n" ); document.write( "
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