MathDB
2014 General #20

Source:

July 5, 2022
2014General Test

Problem Statement

ABCDABCD is a parallelogram, and circle SS (with radius 22) is inscribed insider ABCDABCD such that SS is tangent to all four line segments ABAB, BCBC, CDCD, and DADA. One of the internal angles of the parallelogram is 60∘60^\circ. What is the maximum possible area of ABCDABCD?