In a parallelogram `A B C D ,E ,F` are any two points on the sides `A B` and `B C` respectively. Show that `a r(triangle A D F)=a r( triangle D C E)`.

Explanation

To prove that the area of triangle \( ADF \) is equal to the area of triangle \( DCE \) in parallelogram \( ABCD \), where \( E \) and \( F \) are points on sides \( AB \) and \( BC \) respectively, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Parallelogram and Points**:
- Let \( ABCD \) be a parallelogram.
- Let \( E \) be a point on side \( AB \) and \( F \) be a point on side \( BC \).

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