Is this matematical problem also related to some statistic predictive model problem?

[luchins]

For example: calculataing that area could be a different way to predict instead of minimizing the sum of sum of least squares
the problem is to calculate the Area here:

 

[staassis]

To the best of my knowledge, the question above cannot be rephrased as some well-known statistical problem. However, it can be solved with a statistical method known as Monte Carlo.