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1996 AMC 12 Question 19

AMC12 · 1996 AMC 12

Question 19

The midpoints of the sides of a regular hexagon $ABCDEF$ are joined to form a smaller hexagon. What fraction of the area of $ABCDEF$ is enclosed by the smaller hexagon?

Question illustration
  1. $\frac12$
  2. $\frac{\sqrt3}{3}$
  3. $\frac23$
  4. $\frac34$
  5. $\frac{\sqrt3}{2}$