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UKMT Junior Mathematical Challenge, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a pentagon drawn on a square grid. All vertices of the pentagon and triangle are grid points. What fraction of the area of the pentagon is shaded?

(A) 27\frac{2}{7} (B) 13\frac{1}{3} (C) 25\frac{2}{5} (D) 14\frac{1}{4} (E) 29\frac{2}{9}

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