Area of a rectangle `= L xx B`
Perimeter of a rectangle = 2(L + B) where L and B are the length and breadth of the rectangle respectively.
The breadth of a rectangle of length 4 m and area `8.4 m^(2)` is

Options

A. 2.1 m
B. `1.2 m`
C. `4.2m^(2)`
D. `2.1 m^(2)`

Answer

To find the breadth of a rectangle when the length and area are given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Length (L) = 4 m
- Area (A) = 8.4 m²

2. **Recall the formula for the area of a rectangle**:
- The area of a rectangle is given by the formula:
\[ A = L \times B \]
where \(B\) is the breadth.

3. **Substitute the known values into the formula**:
- We can substitute the known values into the area formula:
\[ 8.4 = 4 \times B \]

4. **Solve for the breadth (B)**:
- To find \(B\), we can rearrange the equation:
\[ B = \frac{8.4}{4} \]
- Now, calculate \(B\):
\[ B = 2.1 \, \text{m} \]

5. **Conclusion**:
- The breadth of the rectangle is \(2.1 \, \text{m}\).