Find the perimeter of a square whose area is 1.69 `m^(2)` .

Answer

To find the perimeter of a square whose area is 1.69 m², we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between area and side of a square**:
The area (A) of a square is given by the formula:
\[ A = \text{side}^2 \]
where "side" is the length of one side of the square.

2. **Set up the equation using the given area**:
We know the area of the square is 1.69 m². Therefore, we can write:
\[ \text{side}^2 = 1.69 \]

3. **Solve for the side length**:
To find the side length, we need to take the square root of both sides:
\[ \text{side} = \sqrt{1.69} \]

4. **Calculate the square root**:
We can calculate the square root:
\[ \sqrt{1.69} = 1.3 \]
Thus, the length of one side of the square is 1.3 m.

5. **Calculate the perimeter of the square**:
The perimeter (P) of a square is given by the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side we found:
\[ P = 4 \times 1.3 = 5.2 \text{ m} \]

### Final Answer:
The perimeter of the square is **5.2 m**.

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