1. **State the problem:** We need to find the area of a parallelogram with base length $8$ cm and height $6$ cm. 2. **Formula:** The area $A$ of a parallelogram is given by the formula: $$A = \text{base} \times \text{height}$$ 3. **Explanation:** The base is the length of one side of the parallelogram, and the height is the perpendicular distance from that base to the opposite side. 4. **Substitute the values:** $$A = 8 \times 6$$ 5. **Calculate:** $$A = 48$$ 6. **Answer:** The area of the parallelogram is $48$ square centimeters.