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2022 AMC 12B Question 2

AMC12 · 2022 AMC 12B

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 $ABCD?$ (Note: the figure is not drawn to scale.)

Question illustration
  1. $3\sqrt5$
  2. $10$
  3. $6\sqrt5$
  4. $20$
  5. $25$