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WAEC Mathematics 2015 Paper

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Question : 41

Total: 45

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

4.7m²
4.9m²
5.7m²
5.9m²

Solution:

Concept:

The margin area is the difference between the total floor area and the carpet area.

Explanation:

Room length

= 3.5\text{ m}

and room width

= 2.2\text{ m}

.

Floor area

= 3.5 \times 2.2 = 7.7\text{ m}^2

.

The margin is

0.5\text{ m}

wide on all sides of the carpet.

Carpet length

= 3.5 - 0.5 - 0.5 = 2.5\text{ m}

.

Carpet width

= 2.2 - 0.5 - 0.5 = 1.2\text{ m}

.

Carpet area

= 2.5 \times 1.2 = 3.0\text{ m}^2

.

Margin area

= 7.7 - 3.0 = 4.7\text{ m}^2

.

Answer:

The area of the margin is

4.7\text{ m}^2

, which is option A.

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