passwella.
Menu

WAEC Mathematics 2014 Question 40

Question 40

Mensuration of Plane Shapes

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

  1. A.1/4
  2. B.1/3
  3. C.2/3
  4. D.3/4
Show the answer and explanation

Answer: C (2/3)

Explanation

With base QR = b and height h: PQMS is a trapezium of area ½(b + 2b)h = 1.5bh. PRMS is a parallelogram (RM = PS and RM ∥ PS) of area bh. bh ÷ 1.5bh = 2/3.