1. **State the problem:** We need to find the area of a compound figure composed of several rectangles and squares with given side lengths. 2. **Identify the shapes and their dimensions:** - Large square: $16\text{ cm} \times 16\text{ cm}$ - Rectangle attached on the right: $8\text{ cm} \times 8\text{ cm}$ - Small rectangle below the right rectangle: $3\text{ cm} \times 3\text{ cm}$ - Small square at the bottom left: $5\text{ cm} \times 5\text{ cm}$ 3. **Formula for area:** - Area of a rectangle or square = length $\times$ width 4. **Calculate each area:** - Area of large square = $16 \times 16 = 256\text{ cm}^2$ - Area of right rectangle = $8 \times 8 = 64\text{ cm}^2$ - Area of small rectangle below right = $3 \times 3 = 9\text{ cm}^2$ - Area of small square bottom left = $5 \times 5 = 25\text{ cm}^2$ 5. **Sum all areas to get total area:** $$\text{Total area} = 256 + 64 + 9 + 25 = 354\text{ cm}^2$$ 6. **Answer:** The area of the compound figure is $354\text{ cm}^2$.