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In quadrilateral PQRS, the mid-points of PQ, QR, RS, SP are A, B, C, D respectively.
Given diagonal PR = 12 cm and diagonal QS = 16 cm, find the perimeter of quadrilateral ABCD.

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A25
  • B31
  • C28
  • D56

Step-by-Step Solution

AB and DC are each half of PR = 6 cm; AD and BC are each half of QS = 8 cm. Perimeter = 2(6) + 2(8) = 12 + 16 = 28 cm.
Answer: C) 28

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