SOLUTION: Please help. 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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. 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       Log On


   



Question 189421: Please help.
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?

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
8/5=(x+2)/x
5(x+2)=8x
5x+10-8X=0
-3X=-10
X=-10/-3
X=3.333 IS THE WIDTH.
3.333+2=5.333 IS THE LENGTH.
PROOF:
8/5=5.333/3.333
5*5.333=8*3.333
26.66=26.66