Question

If the perimeter of a square is 12 cm, what is the area?


Perimeter of a square (cm) Area of a square (cm
2
)
12

Answer 1

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**.