If the area of a square is 400 m sq, what will be the sides and perimeter?

Answer

To solve the problem, we need to find the sides and perimeter of a square given its area.

### Step-by-step Solution:

1. **Understand the formula for the area of a square**:
The area \( A \) of a square is given by the formula:
\[ A = a^2 \]
where \( a \) is the length of one side of the square.

2. **Set up the equation with the given area**:
We are given that the area of the square is \( 400 \, m^2 \). Therefore, we can write:
\[ a^2 = 400 \]

3. **Solve for the side length \( a \)**:
To find \( a \), we take the square root of both sides:
\[ a = \sqrt{400} \]
Calculating the square root:
\[ a = 20 \, m \]

4. **Calculate the perimeter of the square**:
The perimeter \( P \) of a square is calculated using the formula:
\[ P = 4 \times a \]
Substituting the value of \( a \):
\[ P = 4 \times 20 \, m \]
Therefore:
\[ P = 80 \, m \]

### Final Results:
- The length of each side of the square is \( 20 \, m \).
- The perimeter of the square is \( 80 \, m \).