SOLUTION: 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 approximately 8 to 5, the golden ratio. If the le

Question 184432: 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 approximately 8 to 5, the golden ratio. If the length of a recangular painting is 2ft longer than its width, then for what dimensions would the length and width have the golden ratio?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 approximately 8 to 5, the golden ratio. If the length of a recangular painting is 2ft longer than its width, then for what dimensions would the length and width have the golden ratio?
----------------------------------
length/width = 8/5
------------------------
(x+2)/x = 8/5
5(x+2) = 8x
5x + 10 = 8x
6x = 10
x = 5/2 ft (width)
x+2 = 9/2 ft (length)
========================
Cheers,
Stan H.
RELATED QUESTIONS
The Golden Ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by edjones)

The Ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by checkley71)

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)

The Golden Ratio: The ancient Greeks thought that the most pleasing shape for a rectangle (answered by Nate)

(48) The golden ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by aaaaaaaa)

The ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by solver91311)