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UKMT Intermediate Mathematical Challenge, 2018

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The diagram shows a rhombus and two sizes of regular hexagon. What is the ratio of the area of the smaller hexagon to the area of the larger hexagon?

(A) $1:2$ (B) $1:3$ (C) $1:4$ (D) $1:8$ (E) $1:9$

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