Find the length of each side of a square whose area is equal to the area of a rectangle of length `13.6` meters and breadth `3.4` meters.

Answer

To find the length of each side of a square whose area is equal to the area of a rectangle with given dimensions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangle**:
- Length of the rectangle (L) = 13.6 meters
- Breadth of the rectangle (B) = 3.4 meters

**Hint**: Remember that the area of a rectangle is calculated using its length and breadth.

2. **Calculate the area of the rectangle**:
- Area of the rectangle = Length × Breadth
- Area = 13.6 m × 3.4 m

**Hint**: Use multiplication to find the area of the rectangle.

3. **Perform the multiplication**:
- Area = 13.6 × 3.4 = 46.24 square meters

**Hint**: You can break down the multiplication into smaller parts if needed, or use a calculator for accuracy.

4. **Set the area of the square equal to the area of the rectangle**:
- Let the side of the square be denoted as 's'.
- Area of the square = s²
- Therefore, s² = 46.24

**Hint**: The area of a square is found by squaring the length of one of its sides.

5. **Solve for the side of the square**:
- To find the side length, take the square root of both sides:
- s = √46.24

**Hint**: Remember that the square root of a number gives you the original number whose square is that number.

6. **Calculate the square root**:
- s = 6.8 meters

**Hint**: You can use a calculator or estimate the square root by finding two perfect squares that are close to 46.24.

### Final Answer:
The length of each side of the square is **6.8 meters**.