To solve this problem, we need to determine how the piece of paper looks when unfolded after the punching process. Let's break down the steps:

1. Observe the given image of the folded paper with a punch. It shows a folded square with punches on the crease edge.
2. Understand the folding pattern:
   • The paper is folded in half from top to bottom initially.
   • Then, it is folded again, in half from left to right.
3. Identify the punching pattern:
   • In the folded state, a punch is made in the center of the creased edge that exists after both folds.
4. Visualize the unfolding:
   • First, unfold the paper from left to right. This will mirror the punched pattern on the other side of the central vertical crease.
   • Next, unfold the paper from bottom to top. This will mirror the punched patterns to the top half of the paper.
5. As a result, the paper should display symmetric punch patterns at all four sections of the square.

By following these steps, the correct option is determined as the one with symmetrical patterns located at the center of each section when fully unfolded.

This option correctly reflects the symmetrical distribution of punches once the paper is completely unfolded. The unfolding process replicates the punches to all four quadrants of the paper, ensuring symmetry about both the horizontal and vertical axes.