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1989 AMC 12 Question 17

AMC12 · 1989 AMC 12

Question 17

The perimeter of an equilateral triangle exceeds the perimeter of a square by $1989$ cm. The length of each side of the triangle exceeds the length of each side of the square by $d$ cm. The square has perimeter greater than $0.$ How many positive integers are **not** possible values for $d?$
  1. $0$
  2. $9$
  3. $221$
  4. $663$
  5. infinitely many