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1976 AMC 12 Question 3

AMC12 · 1976 AMC 12

Question 3

The sum of the distances from one vertex of a square with sides of length two to the midpoints of each of the sides of the square is
  1. $2\sqrt5$
  2. $2+\sqrt3$
  3. $2+2\sqrt3$
  4. $2+\sqrt5$
  5. $2+2\sqrt5$