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UKMT Intermediate Mathematical Challenge, 2022

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

The shape shown is made up of three similar right-angled triangles. The smallest triangle has two sides of side-length 2, as shown. What is the area of the shape?

(A) $14$ (B) $12 + 12\sqrt{2}$ (C) $28$ (D) $24 + 20\sqrt{2}$ (E) $56$

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