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1957 AMC 12 Question 49

AMC12 · 1957 AMC 12

Question 49

The parallel sides of a trapezoid are $3$ and $9.$ The non-parallel sides are $4$ and $6.$ A line parallel to the bases divides the trapezoid into two trapezoids of equal perimeters. The ratio in which each of the non-parallel sides is divided is:

Question illustration
  1. $4:3$
  2. $3:2$
  3. $4:1$
  4. $3:1$
  5. $6:1$