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WAEC Mathematics 2014 Objective — Question 40

Question 40 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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In parallelogram PQRS, line QR is produced to M such that |QR|=|RM|. What fraction of the area of PQMS is the area of PRMS?

  • A. 1/4
  • B. 1/3
  • C. 2/3Correct
  • D. 3/4

Explanation

Since PQMS is a trapezium formed with QM=2QR, and PRMS is a parallelogram with base RM=QR, the area of PRMS is 2/3 of the area of the trapezium PQMS.

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