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2013 AMC 10A Question 12

AMC10 · 2013 AMC 10A

Question 12

In $\triangle ABC,$ $AB=AC=28$ and $BC=20.$ Points $D,$ $E,$ and $F$ are on sides $\overline{AB},$ $\overline{BC},$ and $\overline{AC},$ respectively, such that $\overline{DE}$ and $\overline{EF}$ are parallel to $\overline{AC}$ and $\overline{AB},$ respectively. What is the perimeter of parallelogram $ADEF?$

Question illustration
  1. $48$
  2. $52$
  3. $56$
  4. $60$
  5. $72$