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WAEC Mathematics 2015 Question 45

Question 45

Mensuration of Plane Shapes

In the diagram, the shaded part is a carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find the area of the margin.

Diagram for this question
  1. A.4.7 m2
  2. B.4.9 m2
  3. C.5.7 m2
  4. D.5.9 m2
Show the answer and explanation

Answer: A (4.7 m2)

Explanation

The carpet measures (3.5 − 1) × (2.2 − 1) = 2.5 × 1.2 = 3.0 m². Margin = 3.5 × 2.2 − 3.0 = 7.7 − 3.0 = 4.7 m².