HMMT November 2013 U33
- Guts
- Answer
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?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{96 \sqrt{3}-154}{\sqrt{3}}
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