Calculate Square Area from Perimeter
The problem provides the perimeter of a square and asks for its area.
Given: Perimeter of the square, $P = 20 \text{ cm}$.
The perimeter of a square is calculated using the formula:
$P = 4s$
where $s$ is the length of one side of the square.
We can find the side length ($s$) by rearranging the formula:
$s = \frac{P}{4}$
Step-by-Step Calculation
-
Calculate the side length:
Substitute the given perimeter into the formula:
$s = \frac{20 \text{ cm}}{4}$
$s = 5 \text{ cm}$
-
Calculate the area:
The area of a square is calculated using the formula:
$A = s^2$
Substitute the calculated side length into the area formula:
$A = (5 \text{ cm})^2$
$A = 25 \text{ cm}^2$
Therefore, the area of the square is $25 \text{ cm}^2$. This matches Option 3.
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