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) ![]() 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( " \n" ); document.write( " |