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)![]() ![]() ![]() You can put this solution on YOUR website! 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( " |