1. **State the problem:** Find the total area of the figure composed of three stacked rectangles and a quarter circle attached to the right side. 2. **Identify dimensions and shapes:** - Rectangle 1 (top): width = 4 in, height = 5 in - Rectangle 2 (middle): width = 7 in, height = 3 in - Rectangle 3 (bottom): width = 9 in, height = 4 in - Quarter circle radius = 7 in 3. **Calculate area of each rectangle:** - Area 1 = width \times height = $4 \times 5 = 20$ sq in - Area 2 = $7 \times 3 = 21$ sq in - Area 3 = $9 \times 4 = 36$ sq in 4. **Calculate total rectangle area:** $$20 + 21 + 36 = 77$$ sq in 5. **Calculate area of the quarter circle:** - Area of full circle = $\pi r^2 = 3.14 \times 7^2 = 3.14 \times 49 = 153.86$ sq in - Area of quarter circle = $\frac{1}{4} \times 153.86 = 38.465$ sq in 6. **Calculate total area of the figure:** $$77 + 38.465 = 115.465$$ sq in 7. **Round to nearest hundredth:** $$115.47$$ square inches **Final answer:** The area of the figure is **115.47** square inches.