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A field is a parallelogram ABCD with area . P is the midpoint of side BC. Mr. Iyer fences triangle APD. Triangle APD has base AD and its apex P lies on the line through BC (parallel to AD). Find ar(APD) in .

Class 9Areas — Figures on the Same BaseGeometry
  • A360
  • B160
  • C180
  • D200

Step-by-Step Solution

P lies on BC, the parallel to AD. Triangle APD shares base AD with the parallelogram between the same parallels AD and BC, so ar(APD) = .
Answer: C) 180

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