2023 Fermat Problem 25

A cube has edge length 4 m. One end of a rope of length 5 m is anchored to the centre of the top face of the cube. The area of the surface of the cube that can be reached by the other end of the rope is A m^2. What is the integer formed by the rightmost two digits of the integer closest to 100A?

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Full credit to this problem is given to the CEMC, you may view all Fermat contests here.