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BECE Mathematics 2011 Paper

Question : 16

Total: 40

Solution:

Concept:

The area of a square is found using the length of one side, which can be obtained from its perimeter.

Explanation:

A square has four equal sides.

Perimeter of a square

= 4 \times \text{side}

Let the side of the square be

s

cm.

Given, perimeter

= 28

cm.

So,

4s = 28

Dividing both sides by

4

, we get:

s = \frac{28}{4} = 7

cm.

Now, area of a square

= \text{side} \times \text{side}

Area

= 7 \times 7 = 49\ \mathrm{cm}^2

Answer:

The area of the square is

49\ \mathrm{cm}^2

, which is Option C.

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