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ABCD is a parallelogram. E is a point on AB. ar(triangle DEC) compared with ar(parallelogram ABCD):
Hint: DC is the base, and E lies on AB which is parallel to DC.

Class 9Areas — Figures on the Same BaseGeometry
  • A
  • B
  • C
  • D

Step-by-Step Solution

Triangle DEC has base DC; E lies on AB, the parallel to DC. So triangle DEC and parallelogram ABCD share base DC between the same parallels, giving ar(DEC) = ar(ABCD).
Answer: A)

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