WAEC Mathematics 2015 Objective — Question 45

Question 45 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

In the diagram above, 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.

A. 4.7m²
B. 4.9m²
C. 5.7m²Correct
D. 5.9m²

Explanation

Area of room = (3.5+1.0)×(2.2+1.0) = 4.5×3.2 = 14.4m². Area of carpet = 3.5×2.2 = 7.7m². Margin area = 14.4−7.7 = 6.7m². (WAEC key computes margin = 4.5×2.2−(3.5×2.2) using outer dims 4.5×2.2, giving 7.7−3=4.7m².)

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