1. **State the problem:** We need to find the area of the shaded region inside square PQRS but outside the arc QTS, where PQRS is a square with side length 7 cm, and QTS is an arc of a circle centered at R with radius 7 cm. 2. **Identify given information:** - Side length of square PQRS = 7 cm - Radius of circle (center R) = 7 cm - Use \( \pi = \frac{22}{7} \) 3. **Understand the shapes involved:** - The square has area \( 7 \times 7 = 49 \text{ cm}^2 \). - The arc QTS is a quarter circle (since it spans from Q to S with center R, covering 90°). 4. **Calculate the area of the quarter circle:** \[ \text{Area of quarter circle} = \frac{1}{4} \pi r^2 = \frac{1}{4} \times \frac{22}{7} \times 7^2 = \frac{1}{4} \times \frac{22}{7} \times 49 \] Simplify: \[ = \frac{1}{4} \times 22 \times 7 = \frac{1}{4} \times 154 = 38.5 \text{ cm}^2 \] 5. **Calculate the shaded area:** The shaded area is the part of the square outside the quarter circle, so: \[ \text{Shaded area} = \text{Area of square} - \text{Area of quarter circle} = 49 - 38.5 = 10.5 \text{ cm}^2 \] 6. **Final answer:** \[ \boxed{10.5}\] This corresponds to option B.