# Point P in a Square

Geometry Level 5

$$ABCD$$ is a square. $$P$$ is a point within $$ABCD$$ such that $$PA=1, PB= 29$$ and $$PC = 41$$. What is $$[ABCD]$$?

Details and assumptions

$$[PQRS]$$ refers to the area of figure $$PQRS$$.

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