Length B = 3, 5, 8, 13, 21, 34

Width A = 2, 3, 5, 8, 13, 21

B/A = 1.5, 1.6667, 1.6, 1.625, 1.615, 1.619

How do the ratios above compare to the golden ratio?

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities

The golden ratio by definition is given by

(1 + root (5)) / 2 = 1.6180

Comparing with the ratios given in the problem, we see that the closest to this value is

B / A = 1.619

Or in other words

B / A = 34/21