document.write( "Question 146757: 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 ratio. If the length of the rectangular painting is 2 feet longer than its width, then for which dimensions would the length and the width have the golden ratio? \n" ); document.write( "
Algebra.Com's Answer #107236 by edjones(8007)![]() ![]() You can put this solution on YOUR website! L/w=8/5 golden ratio \n" ); document.write( "L=w+2 \n" ); document.write( "(w+2)/w=8/5 Proportion \n" ); document.write( "5(w+2)=8w Multiply each side by the LCM (5w) to eliminate fractions. \n" ); document.write( "5w+10=8w \n" ); document.write( "3w=10 \n" ); document.write( "w=10'/3=3' 4\" \n" ); document.write( "L=5' 4\" \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |