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1962 AMC 12 Question 6

AMC12 · 1962 AMC 12

Question 6

A square and an equilateral triangle have equal perimeters. The area of the triangle is $9\sqrt3$ square inches. Expressed in inches the diagonal of the square is:
  1. $\dfrac92$
  2. $2\sqrt5$
  3. $4\sqrt2$
  4. $\dfrac{9\sqrt2}{2}$
  5. none of these