Chapter 4.3, Problem 16MS

Comparing areas (ExH). Let G be a Golden Rectangle having base b and height h, and let G’ be the smaller Golden Rectangle made by removing the largest square possible from G. Compute the ratio of the area of G to the area of G’. That is, compute $\text{Area}\left(\text{G}\right)\text{/Area}\left(\text{G’}\right)\text{.}$

Does your answer really depend on $\text{b and h }\left(\text{the original size of 0}\right)\text{?}$

Are you surprised by your answer?