UKMT Grey Kangaroo, 2018

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Freda's flying club designed a flag of a flying dove on a square grid as shown. The area of the dove is 192 cm $^2$ . All parts of the perimeter of the dove are either quarter-circles or straight lines. What are the dimensions of the flag?

(A) $6\text{ cm}\times4\text{ cm}$ (B) $12\text{ cm}\times8\text{ cm}$ (C) $21\text{ cm}\times14\text{ cm}$ (D) $24\text{ cm}\times16\text{ cm}$ (E) $27\text{ cm}\times18\text{ cm}$

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