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JAMB Mathematics 2004 Question 27

Question 27

Mensuration of Plane Shapes

In the diagram above, PQ = 4cm and TS = 6cm. If the area of parallelogram PQTU is 32 cm2, find the area of the trapezium PQRU.

Diagram for this question
  1. A.24cm2
  2. B.48cm2
  3. C.60cm2
  4. D.72cm2
Show the answer and explanation

Answer: D (72cm2)

Explanation

The height is 32 ÷ 4 = 8cm. UR = UT + TS + SR = 4 + 6 + 4 = 14cm, so the area = ½ × (4 + 14) × 8 = 72cm2.