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JAMB Mathematics 1998 Question 27

Question 27

Mensuration of Plane Shapes

In the figure above, PQST is a parallelogram and TSR is a straight line. If the area of ΔQRS is 20cm2, find the area of the trapezium PQRT

Diagram for this question
  1. A.35cm2
  2. B.65cm2
  3. C.70cm2
  4. D.140cm2
Show the answer and explanation

Answer: C (70cm2)

Explanation

½ × 8 × h = 20 gives the height h = 5 cm. PQ = TS = 10 cm and TR = 18 cm, so the trapezium's area = ½(10 + 18) × 5 = 70 cm².