1. **Stating the problem:** We have a right triangle QRS with a right angle at Q. 2. **Given data:** Side QS = 2.25 cm and side QR = 3 cm. 3. **Formula for area of a right triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 4. Since Q is the right angle, sides QS and QR are perpendicular and can be considered as base and height. 5. Substitute the values: $$\text{Area} = \frac{1}{2} \times 2.25 \times 3$$ 6. Calculate the multiplication: $$\text{Area} = \frac{1}{2} \times 6.75$$ 7. Simplify the fraction: $$\text{Area} = \cancel{\frac{1}{2}} \times 6.75 = 3.375$$ 8. **Final answer:** The area of triangle QRS is **3.375 cm²**.