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Omni-MATH / On each side of a 6 by 8 rectangle, construct an equilateral triangle with that…

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problem

On each side of a 6 by 8 rectangle, construct an equilateral triangle with that side as one edge such that the interior of the triangle intersects the interior of the rectangle. What is the total area of all regions that are contained in exactly 3 of the 4 equilateral triangles?

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