MathDB
2012 Spring Team #9

Source:

March 20, 2022
geometry

Problem Statement

Let SS be a square of side length 11, one of whose vertices is AA. Let S+S^+ be the square obtained by rotating S clockwise about AA by 30o30^o . Let S−S^- be the square obtained by rotating S counterclockwise about AA by 30o30^o. Compute the total area that is covered by exactly two of the squares SS, S+S^+, S−S^-. Express your answer in the form a+b3a + b\sqrt3 where a,ba, b are rational numbers.
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