Test Index

BECE Mathematics 2013 Paper

Question : 12

Total: 40

Solution:

Concept:

The perimeter of a rectangle is the total distance around it, given by

2 \times (\text{length} + \text{width})

Explanation:

Let the width of the rectangle be

w

For a rectangle, perimeter

= 2 \times \text{length} + 2 \times \text{width}

Here, length is

14\ \text{cm}

and perimeter is

48\ \text{cm}

So,

48 = 2(14) + 2w

48 = 28 + 2w

Subtract

28

from both sides:

48 - 28 = 2w

20 = 2w

Divide both sides by

2

w = \frac{20}{2} = 10\ \text{cm}

Answer:

The width of the rectangle is

10\ \text{cm}

, which is option C.

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