In a parallelogram, the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively. Find its area.

Options

A. `600 m^(2)`
B. `540 m^(2)`
C. `680 m^(2)`
D. `574 m^(2)`

Answer

To find the area of the parallelogram given the length of one diagonal and the perpendicular dropped on that diagonal, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Length of the diagonal (d) = 30 meters
- Length of the perpendicular dropped on the diagonal (h) = 20 meters

2. **Use the Area Formula:**
The area (A) of a parallelogram can be calculated using the formula:
\[ A = \text{Diagonal} \times \text{Perpendicular} \]
Here, we will use the diagonal and the perpendicular dropped on that diagonal.

3. **Substitute the Values into the Formula:**
\[ A = d \times h = 30 \, \text{meters} \times 20 \, \text{meters} \]

4. **Calculate the Area:**
\[ A = 600 \, \text{square meters} \]

5. **Conclusion:**
The area of the parallelogram is 600 square meters.