Find the length of a rectangle whose area is `300 cm^(2)` and the breadth is 15 cm.

Answer

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

### Step-by-Step Solution:

1. **Understand the formula for the area of a rectangle**:
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{Length} \times \text{Breadth} \]

2. **Identify the given values**:
From the problem, we know:
- Area \( A = 300 \, \text{cm}^2 \)
- Breadth \( B = 15 \, \text{cm} \)

3. **Set up the equation**:
We can substitute the known values into the area formula:
\[ 300 \, \text{cm}^2 = \text{Length} \times 15 \, \text{cm} \]

4. **Solve for Length**:
To find the Length, we can rearrange the equation:
\[ \text{Length} = \frac{300 \, \text{cm}^2}{15 \, \text{cm}} \]

5. **Perform the division**:
Now, we calculate the right side:
\[ \text{Length} = \frac{300}{15} = 20 \, \text{cm} \]

6. **Conclusion**:
Therefore, the length of the rectangle is:
\[ \text{Length} = 20 \, \text{cm} \]