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2008 AMC 10A Question 20

AMC10 · 2008 AMC 10A

Question 20

Trapezoid $ABCD$ has bases $AB$ and $CD$ and diagonals intersecting at $K.$ Suppose that $AB = 9,$ $DC = 12,$ and the area of $\triangle AKD$ is $24.$ What is the area of trapezoid $ABCD?$
  1. $92$
  2. $94$
  3. $96$
  4. $98$
  5. $100$