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2022 AMC 10B Question 2

AMC10 · 2022 AMC 10B

Question 2

In rhombus $ABCD,$ point $P$ lies on segment $\overline{AD}$ so that $\overline{BP} \perp \overline{AD},$ $AP = 3,$ and $PD = 2.$ What is the area of $ABCD?$

Question illustration
  1. $ 3\sqrt 5 $
  2. $ 10 $
  3. $ 6\sqrt 5 $
  4. $ 20 $
  5. $ 25 $