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UKMT Intermediate Mathematical Challenge, 2015

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The equilateral triangle and regular hexagon shown have perimeters of the same length. What is the ratio of the area of the triangle to the area of the hexagon?

(A) $5:6$ (B) $4:5$ (C) $3:4$ (D) $2:3$ (E) $1:1$

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