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Australian AMC 2018 - Senior Question 14

AMC AUSTRALIA · Australian AMC 2018 - Senior

Question 14

The diagram shows a regular octagon of side length 1 metre. In square metres, what is the area of the shaded region?

Question illustration
  1. 1
  2. $\sqrt2$
  3. 2
  4. $3-\sqrt2$
  5. $\frac{1+\sqrt2}{2}$