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To solve this problem, let's first recall the formula for the area of a square:

\[
\text{Area of a square} = \text{side}^2
\]

Given that the area of the square is \( 25 \, \text{cm}^2 \), we can find the length of one side by solving for the side:

\[
\text{side} = \sqrt{\text{Area}} = \sqrt{25} = 5 \, \text{cm}
\]

Now that we know the side length of the square is 5 cm, we can find the perimeter of the square. The formula for the perimeter of a square is:

\[
\text{Perimeter} = 4 \times \text{side}
\]

Substituting the side length:

\[
\text{Perimeter} = 4 \times 5 = 20 \, \text{cm}
\]

Thus, the perimeter of the square is **20 cm**.

Would you like more details or have any questions? Here are some related questions to consider:

1. If the side of a square is doubled, what happens to the area?
2. What is the relationship between the perimeter and the area of a square?
3. How would you calculate the diagonal of the square using the side length?
4. If the perimeter of a square is 40 cm, what is its area?
5. How does the formula for the perimeter of a square differ from that of a rectangle?

**Tip:** The side length of a square can always be found by taking the square root of its area.

Given area of a square, find its perimeter.

Learn how to find the perimeter of a square given its area. With an area of 25 cm², use geometry to determine the side length and the perimeter. Suitable for students in Grades 5-7.

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