Final answer:
The area of the triangle enclosed by the curator's path is 22.5 blocks².
Step-by-step explanation:
The area of the triangle enclosed by the path taken by the curator can be calculated using the formula A = 1/2 * base * height, where the base is the distance the curator traveled east (9 blocks) and the height is the distance the curator traveled north (5 blocks).
Using the given information, we have:
A = 1/2 * 9 blocks * 5 blocks = 22.5 blocks2
Therefore, the area of the triangle enclosed by the curator's path is 22.5 blocks2.