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UKMT Grey Kangaroo, 2017

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

The diagram shows four overlapping hearts. The areas of the hearts are $1\text{ cm}^2$ , $4\text{ cm}^2$ , $9\text{ cm}^2$ and $16\text{ cm}^2$ . What is the total shaded area?

(A) $9\text{ cm}^2$ (B) $10\text{ cm}^2$ (C) $11\text{ cm}^2$ (D) $12\text{ cm}^2$ (E) $13\text{ cm}^2$

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