The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Explanation

To find the area of the quadrilateral-shaped field, we will follow these steps:

### Step 1: Identify the given values
We are given:
- The length of the diagonal \( BD = 24 \, \text{m} \)
- The perpendiculars (heights) from the opposite vertices:
- \( A_1 = 13 \, \text{m} \) (from vertex A)
- \( A_2 = 8 \, \text{m} \) (from vertex C)
...