To find the area of a square, we first need to determine the length of one side of the square. The formula for the perimeter \( P \) of a square in terms of the side length \( s \) is:
\[ P = 4s \]
Given that the perimeter is 12 cm, we can set up the equation:
\[ 4s = 12 \]
Now, solve for \( s \):
\[ s = \frac{12}{4} = 3 \text{ cm} \]
Now that we have the side length, we can find the area \( A \) of the square using the formula:
\[ A = s^2 \]
Substituting \( s = 3 \) cm into the area formula gives:
\[ A = 3^2 = 9 \text{ cm}^2 \]
Therefore, the area of the square is 9 cm².
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