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1956 AMC 12 Question 37

AMC12 · 1956 AMC 12

Question 37

On a map whose scale is $400$ miles to an inch and a half, a certain estate is represented by a rhombus having a $60^\circ$ angle. The diagonal opposite $60^\circ$ is $\dfrac3{16}$ in. The area of the estate in square miles is:
  1. $\dfrac{2500}{\sqrt3}$
  2. $\dfrac{1250}{\sqrt3}$
  3. $1250$
  4. $\dfrac{5625\sqrt3}{2}$
  5. $1250\sqrt3$