1. **State the problem:** We need to find the area of a parallelogram with a base of 6 cm and a height of 4.5 cm. 2. **Formula for area of a parallelogram:** $$\text{Area} = \text{base} \times \text{height}$$ 3. **Identify given values:** Base $b = 6$ cm Height $h = 4.5$ cm 4. **Calculate the area:** $$\text{Area} = 6 \times 4.5$$ 5. **Multiply:** $$6 \times 4.5 = 27$$ 6. **Conclusion:** The area of the parallelogram is $27$ square centimeters. **Answer: H 27 cm²**