The area of a square is 42.25 `m^2`:
Find the side of the square.

Answer

To find the side of a square when the area is given, we can follow these steps:

### 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. **Substitute the given area into the formula**:
We know from the problem that the area \( A \) is 42.25 m². Therefore, we can write:
\[ a^2 = 42.25 \]

3. **Solve for \( a \)**:
To find the length of the side \( a \), we need to take the square root of both sides:
\[ a = \sqrt{42.25} \]

4. **Calculate the square root**:
Now we compute the square root:
\[ a = 6.5 \, \text{m} \]

5. **Conclusion**:
The side of the square is:
\[ a = 6.5 \, \text{m} \]

### Final Answer:
The side of the square is 6.5 meters.

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