1. **State the problem:** Find the area of parallelogram UVWX given sides and height. 2. **Formula:** The area $A$ of a parallelogram is given by: $$A = \text{base} \times \text{height}$$ where the base is one side of the parallelogram and the height is the perpendicular distance from the opposite side. 3. **Identify base and height:** Here, base $= 27$ inches (side UV) and height $= 14.1$ inches (perpendicular from X to UV). 4. **Calculate area:** $$A = 27 \times 14.1$$ 5. **Multiply:** $$A = 380.7$$ 6. **Round to nearest tenth:** The area is already at one decimal place. **Final answer:** $$\boxed{380.7 \text{ square inches}}$$