1. **State the problem:** We need to find the areas of three parts: (a) the rectangle, (b) the triangle, and (c) the whole composite shape. 2. **Formula for area of a rectangle:** $$\text{Area} = \text{width} \times \text{height}$$ 3. **Calculate area of the rectangle:** Given width = 10 cm and height = 7 cm, $$\text{Area}_{rectangle} = 10 \times 7 = 70 \text{ cm}^2$$ 4. **Formula for area of a triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 5. **Calculate area of the triangle:** Given base = 4 cm and height = 5 cm, $$\text{Area}_{triangle} = \frac{1}{2} \times 4 \times 5 = \frac{1}{2} \times 20 = 10 \text{ cm}^2$$ 6. **Calculate area of the whole shape:** The whole shape is the sum of the rectangle and triangle areas, $$\text{Area}_{whole} = 70 + 10 = 80 \text{ cm}^2$$ **Final answers:** - Rectangle area = $70$ cm$^2$ - Triangle area = $10$ cm$^2$ - Whole shape area = $80$ cm$^2$