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2010 AMC 12A Question 3

AMC12 · 2010 AMC 12A

Question 3

Rectangle $ABCD,$ pictured below, shares $50\%$ of its area with square $EFGH.$ Square $EFGH$ shares $20\%$ of its area with rectangle $ABCD.$ What is $\dfrac{AB}{AD}?$

Question illustration
  1. $4$
  2. $5$
  3. $6$
  4. $8$
  5. $10$