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WAEC Mathematics 2009 Question 18

Question 18

Mensuration of Plane Shapes

PQRS is a trapezium. QR//PS, |PQ| = 5 cm, |QR| = 6 cm, |PS| = 10 cm and angle QPS = 42°. Calculate, correct to the nearest cm2, the area of the trapezium.

Diagram for this question
  1. A.27 cm2
  2. B.30 cm2
  3. C.36 cm2
  4. D.37 cm2
Show the answer and explanation

Answer: A (27 cm2)

Explanation

Area = ½(6 + 10) × 3.346 ≈ 26.8 ≈ 27 cm2.