AMC 10 Step by Step
2022 AMC 10BProblem 2P1-10~2 minPrint

In rhombus ABCDABCD , point PP lies on segment AD\overline{AD} so that BP\overline{BP} \perp AD\overline{AD} , AP=3AP = 3 , and PD=2PD = 2 . What is the area of ABCDABCD ? (Note: The figure is not drawn to scale.)

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.