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1992 AMC 12 Question 9

AMC12 · 1992 AMC 12

Question 9

Five equilateral triangles, each with side $2\sqrt3,$ are arranged so they are all on the same side of a line containing one side of each. Along this line, the midpoint of the base of one triangle is a vertex of the next. The area of the region of the plane that is covered by the union of the five triangular regions is

Question illustration
  1. $10$
  2. $12$
  3. $15$
  4. $10\sqrt3$
  5. $12\sqrt3$