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UKMT Intermediate Mathematical Challenge, 2018

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Three squares, with side-lengths 2, are placed together edge-to-edge to make an L-shape. The L-shape is placed inside a rectangle so that all five vertices of the L-shape lie on the rectangle, one of them at the midpoint of an edge, as shown. What is the area of the rectangle?

(A) $16$ (B) $18$ (C) $20$ (D) $22$ (E) $24$

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