The correct answer is (d), 65 meters.
To solve this problem, we can draw a diagram to visualize the situation. The following diagram shows the points E, F, A, P, X, and D, as well as the distances between them:
[Diagram of the points E, F, A, P, X, and D, as well as the distances between them]
From the diagram, we can see that the distance between point X and point D is the sum of the following distances:
- The distance between point X and point C, which is 20 meters.
- The distance between point C and point F, which is 20 meters.
- The distance between point F and point E, which is 15 meters.
- The distance between point E and point D, which is 15 meters.
Therefore, the total distance between point X and point D is $20 + 20 + 15 + 15 = 65$ meters.
The other options are incorrect because they do not take into account all of the distances between the points. For example, option (a), 40 meters, is the distance between point X and point E. However, it does not take into account the distances between point X and point C, point C and point F, and point F and point E. Option (b), 55 meters, is the distance between point X and point A. However, it does not take into account the distances between point X and point C, point C and point F, and point F and point E. Option (c), 35 meters, is the distance between point A and point P. However, it does not take into account the distances between point X and point C, point C and point F, and point F and point E.