1. **State the problem:** Find the area of rectangle GHIJ given the side lengths. 2. **Recall the formula for the area of a rectangle:** $$\text{Area} = \text{length} \times \text{width}$$ 3. **Identify the length and width:** From the problem, the sides GH and IJ are 15 inches each, and sides HI and JG are 22.5 inches each. 4. **Calculate the area:** $$\text{Area} = 15 \times 22.5$$ 5. **Perform the multiplication:** $$15 \times 22.5 = 337.5$$ 6. **Round the answer if necessary:** The answer is already to the nearest tenth. **Final answer:** $$\boxed{337.5 \text{ inches}^2}$$