Final answer:
The Parthenon is approximately 31 meters wide and its height can be calculated using the proportion of a golden rectangle.
Step-by-step explanation:
The Parthenon is approximately 31 meters wide. If it fits inside a golden rectangle, we can use the proportion of a golden rectangle to find the height. A golden rectangle has a length-to-width ratio of approximately 1.618. So, if the width is 31 meters, we can set up the proportion: 31/1.618 = x/31. Solving for x, we find that the height of the Parthenon is approximately 48 meters.