SOLUTION: 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
Algebra.Com
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?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
L/w=8/5 golden ratio
L=w+2
(w+2)/w=8/5 Proportion
5(w+2)=8w Multiply each side by the LCM (5w) to eliminate fractions.
5w+10=8w
3w=10
w=10'/3=3' 4"
L=5' 4"
.
Ed
RELATED QUESTIONS
Please help.
The golden ratio. The ancient Greeks thought that the most pleasing shape... (answered by checkley75)
The golden ratio. The ancient Greeks thought that the
most pleasing shape for a... (answered by algebrapro18)
The golden ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by ankor@dixie-net.com)
The golden ratio. The ancient Greeks thought that the
most pleasing shape for a... (answered by Theo)
(48) The golden ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by aaaaaaaa)
The Golden Ratio: The ancient Greeks thought that the most pleasing shape for a rectangle (answered by Nate)
The Ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by checkley71)
The ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by solver91311)
The ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by stanbon)