If the perimeter of a square is 16 cm, then its area is:

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If the perimeter of a square is 16 cm, then its area is:

Options:

A .

4 c m^{2}

B .

8 c m^{2}

C .

16 c m^{2}

D .

32 c m^{2}

Answer: Option C
:
C

Given: Perimeter = 16 cm
Perimter of a square = 4 $\times$ Side
$\Rightarrow$ 16 cm = 4 $\times$ Side
$\Rightarrow$ Side $= \frac{16}{4} = 4 c m$
Area of a square = Side $\times$ Side
$\Rightarrow$ Area of the square $= 4 c m \times 4 c m = 16 c m^{2}$

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