document.write( "Question 121024: The acient 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 ratio. If the length of the painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio? \n" ); document.write( "
Algebra.Com's Answer #88876 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
8/5=(X+2)/X NOW CROSS MULTIPLY.
\n" ); document.write( "8X=5(X+2)
\n" ); document.write( "8X=5X+10
\n" ); document.write( "8X-5X=10
\n" ); document.write( "3X=10
\n" ); document.write( "X=10/3
\n" ); document.write( "X=3.333
\n" ); document.write( "3.333+2=5.333
\n" ); document.write( "THUS THE GOLDEN RATIO HERE IS 3.333 BY 5.333.
\n" ); document.write( "PROOF:
\n" ); document.write( "8/5=5.333/3.333
\n" ); document.write( "1.6=1.6
\n" ); document.write( "
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