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 approximately 8 to 5, the gold

Question 215506This question is from textbook Elementary & Intermediate Algebra
: 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 approximately 8 to 5, the golden ratio. 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? This question is from textbook Elementary & Intermediate Algebra

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 approximately 8 to 5, the golden ratio.
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?
:
Let x = width of the painting
then
(x+2) = length of the painting
:
=
Cross multiply, results
8x = 5(x+2)
:
8x = 5x + 10
:
8x - 5x = 10
:
3x = 10
x =
x = 3 units wide
and
5 units long
;
:
Check solution:
5/8 = .625
3.3333/5.3333 = .64998 ~ .625
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 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)