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Question

A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor?

Accepted Answer

Since the number of tiles lying on both diagonals is 37, counting one tile twice, there are 37=2x-1 x=19 tiles on each side. Therefore, our answer is 19^2=361=361.