2020 AIME II Problem 13

Convex pentagon ABCDE has side lengths AB=5, BC=CD=DE=6, and EA=7. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of ABCDE.

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.