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UKMT Junior Mathematical Challenge, 2020

Geometry Difficulty 1.0 Junior Find the answer United Kingdom

The diagram shows an equilateral triangle divided into four smaller equilateral triangles. One of these triangles has itself been divided into four smaller equilateral triangles. What fraction of the area of the large triangle has been shaded?

(A) 18\frac{1}{8} (B) 316\frac{3}{16} (C) 14\frac{1}{4} (D) 516\frac{5}{16} (E) 38\frac{3}{8}

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