To determine how much fencing Mirele needs to buy, we need to calculate the perimeter of the pool. However, the dimensions given (length and height) suggest that we may be dealing with a rectangular shape, where length is 31.74 feet and width (assuming "height" is a typo and should be "width") can be derived. However, since we have only 2 dimensions, let's calculate the pool perimeter using just the length you've provided.
The standard formula for the perimeter \( P \) of a rectangle is:
\[ P = 2 \times (\text{length} + \text{width}) \]
In your problem, we're not provided with the width, only the length and height. If we assume the height is not part of the pool perimeter (since the pool dimensions typically require length and width), we can seek an accurate calculation based on available data.
If we interpret the height as the width incorrectly, we may do the calculation as follows:
Assuming width = height = 14.85 feet (if we consider it a rectangular pool):
The perimeter calculation will then be:
\[ P = 2 \times (31.74 + 14.85) \] \[ P = 2 \times 46.59 \] \[ P = 93.18 \text{ feet} \]
Given the potential options for fencing lengths, the appropriate amount of fencing Mirele should buy is:
93.18 feet.