What is the length of a rectangle (in m), if its area is `2m^(2)` and breadth is `(1)/(2)m` ?

Answer

To find the length of the rectangle, we can use the formula for the area of a rectangle, which is:

**Area = Length × Breadth**

Given:
- Area = 2 m²
- Breadth = 1/2 m

Let's denote the length of the rectangle as \( L \).

### Step 1: Write the formula for the area of the rectangle
The area of the rectangle can be expressed as:
\[ \text{Area} = L \times \text{Breadth} \]

### Step 2: Substitute the known values into the formula
Substituting the known values into the formula gives us:
\[ 2 = L \times \frac{1}{2} \]

### Step 3: Solve for \( L \)
To isolate \( L \), we can multiply both sides of the equation by 2:
\[ 2 \times 2 = L \times \frac{1}{2} \times 2 \]
This simplifies to:
\[ 4 = L \]

### Step 4: Conclusion
Thus, the length of the rectangle is:
\[ L = 4 \text{ m} \]

### Final Answer
The length of the rectangle is **4 meters**.

---