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UKMT Intermediate Mathematical Challenge, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Two semicircles are drawn in a rectangle as shown. What is the width of the overlap of the two semicircles?

(A) $3\text{ cm}$ (B) $4\text{ cm}$ (C) $5\text{ cm}$ (D) $6\text{ cm}$ (E) $7\text{ cm}$

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