ABCD is a parallelogram and X is the mid-point of AB. `(AXCD)= 24 cm^(2)`, then `ar (ABC) = 24 cm^(2)`.

Explanation

To solve the problem, we need to analyze the given information about the parallelogram ABCD and the midpoint X of side AB. We are given that the area of the parallelogram AXCD is 24 cm², and we need to determine if the area of triangle ABC is also 24 cm².

### Step-by-Step Solution:

1. **Identify the Areas**:
- The area of the parallelogram AXCD is given as 24 cm².
- We denote the area of parallelogram ABCD as \( A_{ABCD} \).

...