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IMAS 2024–2025 Junior Division First Round Question 8

IMAS · IMAS 2024–2025 Junior Division First Round

Question 8

Amir has 12 pieces of isosceles triangles, where the length of the common side is 18 cm. He arranges them, without overlapping, to form a regular dodecagon (12 sides) as shown in the diagram below. What is the area, in $\mathrm{cm}^2$, of this dodecagon?

Question illustration
  1. 81
  2. 162
  3. 324
  4. 486
  5. 972