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1953 AMC 12 Question 46

AMC12 · 1953 AMC 12

Question 46

Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to $\frac{1}{2}$ the longer side. The ratio of the shorter side of the rectangle to the longer side was:
  1. $\dfrac12$
  2. $\dfrac25$
  3. $\dfrac14$
  4. $\dfrac34$
  5. $\dfrac25$