1. **State the problem:** We need to find the area of the shaded region, which is the area of the large square minus the area of the smaller square inside it. 2. **Formula used:** The area of a square is given by $$\text{Area} = \text{side}^2$$. 3. **Calculate the area of the large square:** $$38.7^2 = 1497.69$$ square inches. 4. **Calculate the area of the smaller square:** $$14.3^2 = 204.49$$ square inches. 5. **Find the area of the shaded region by subtracting the smaller square's area from the larger square's area:** $$1497.69 - 204.49 = 1293.20$$ square inches. 6. **Final answer:** The area of the shaded region is **1293.20** square inches.