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UKMT Intermediate Mathematical Challenge, 2026

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

All the angles in this figure are multiples of $45°$ . Some side lengths are given. What is the perimeter of the figure?

(A) $16+5\sqrt{2}$ (B) $18+5\sqrt{2}$ (C) $18+4\sqrt{2}$ (D) $16+4\sqrt{2}$ (E) $20+5\sqrt{2}$

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