1. **State the problem:** We need to find the area of the yellow shaded region, which is the area of the square minus the area of the inscribed circle. 2. **Identify given values:** The square has side length $5$ ft. 3. **Formulas used:** - Area of a square: $$A_{square} = s^2$$ where $s$ is the side length. - Area of a circle: $$A_{circle} = \pi r^2$$ where $r$ is the radius. 4. **Find the area of the square:** $$A_{square} = 5^2 = 25 \text{ ft}^2$$ 5. **Find the radius of the inscribed circle:** Since the circle is inscribed, its diameter equals the side length of the square. $$d = 5 \Rightarrow r = \frac{d}{2} = \frac{5}{2} = 2.5 \text{ ft}$$ 6. **Calculate the area of the circle:** $$A_{circle} = \pi (2.5)^2 = \pi \times 6.25 = 6.25\pi \text{ ft}^2$$ 7. **Calculate the yellow shaded area:** $$A_{yellow} = A_{square} - A_{circle} = 25 - 6.25\pi$$ 8. **Approximate the value:** Using $\pi \approx 3.1416$, $$A_{yellow} \approx 25 - 6.25 \times 3.1416 = 25 - 19.635 = 5.365 \text{ ft}^2$$ 9. **Round to the nearest tenth:** $$A_{yellow} \approx 5.4 \text{ ft}^2$$ **Final answer:** The area of the yellow shaded region is approximately $5.4$ ft$^2$.