Question 6
There is a square park, $ABCD$, and a pavilion is built at point $P$, as shown in the diagram below. Triangle $PAD$ is a pond whose area is one-third of the area of the square park. Triangle $PBC$ is a play area for children whose area is 2024 m². What is the area, in m², of the square park? (Assume the area of the pavilion is 0.)
