2023 AIME I Problem 5

Let P be a point on the circle circumscribing square ABCD that satisfies PA \cdot PC = 56 and PB \cdot PD = 90. Find the area of ABCD.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.