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JAMB Mathematics 1981 Question 16

Question 16

Mensuration of Plane Shapes

In the figure above, find the area of XYZW.

Diagram for this question
  1. A.60cm2
  2. B.54cm2
  3. C.27cm2
  4. D.54√2cm2
  5. E.27√2cm2.
Show the answer and explanation

Answer: C (27cm2)

Explanation

XY ∥ WZ. The height is 6 sin 30° = 3cm, so the area of the trapezium is ½(8 + 10) × 3 = 27cm².