UKMT Pink Kangaroo, 2021

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Six congruent rhombuses, each of area $5 \text{ cm}^2$ , form a star. The tips of the star are joined to draw a regular hexagon, as shown. What is the area of the hexagon?

(A) $36 \text{ cm}^2$ (B) $40 \text{ cm}^2$ (C) $45 \text{ cm}^2$ (D) $48 \text{ cm}^2$ (E) $60 \text{ cm}^2$

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