Question 21
In the following diagram, $ABCD$ is a rectangle. Suppose that $P$ is a variable point within the rectangle $ABCD$ and that
$$\operatorname{Area}\triangle APB+\operatorname{Area}\triangle DPC=2025\text{ units}^2,$$
find the maximum value of $\operatorname{Area}\triangle APD+\operatorname{Area}\triangle BPC$.
$$\operatorname{Area}\triangle APB+\operatorname{Area}\triangle DPC=2025\text{ units}^2,$$
find the maximum value of $\operatorname{Area}\triangle APD+\operatorname{Area}\triangle BPC$.