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WAEC Mathematics 2001 Question 50

Question 50

Mensuration of Plane Shapes

PQRS is a trapezium in which |PS| = 9 cm, |QR| = 15 cm, |PQ| = 2√3, ∠PQR = 90° and ∠QRS = 30°. Calculate the area of the trapezium.

Diagram for this question
  1. A.24√3 cm2
  2. B.36√3 cm2
  3. C.42√3 cm2
  4. D.72√3 cm2
Show the answer and explanation

Answer: A (24√3 cm2)

Explanation

PQ is the height. Area = ½(9 + 15) × 2√3 = 24√3 cm2.