# SOLUTION: ratio's 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. If the length of a rectangular pa

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 Question 95359: ratio's 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. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and wideth have the golden ratio of 8 to 5. Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!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. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio of 8 to 5. : Let x = the width Then (x+2) = the length : We want to have the golden ratio = : Cross multiply and you have: 8x = 5(x+2) 8x = 5x + 10 8x - 5x = 10 3x = 10 x = 10/x x = 3.333 ft is the width : Length = 3.333 + 2 = 5.333 ft : : Check our solution, see if it has the golden ratio = 1.6 = 8/5