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

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(22740) (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
RELATED QUESTIONS
The Golden Ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by edjones)

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

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 solver91311)

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