1. **State the problem:** Find the total area of the two composite figures by decomposing each into familiar shapes. --- ### Bottom-left figure: 2. **Decompose the figure:** The figure looks like a rectangle with a triangle on top (like a house). - Rectangle height = 8 ft - Rectangle width = 9 ft - Triangle height = 12 ft - 8 ft = 4 ft - Triangle base = 9 ft 3. **Formulas:** - Area of rectangle = $\text{length} \times \text{width}$ - Area of triangle = $\frac{1}{2} \times \text{base} \times \text{height}$ 4. **Calculate areas:** - Rectangle area = $9 \times 8 = 72$ ft$^2$ - Triangle area = $\frac{1}{2} \times 9 \times 4 = \frac{1}{2} \times 36 = 18$ ft$^2$ 5. **Total area:** $$\text{Total area} = 72 + 18 = 90 \text{ ft}^2$$ --- ### Bottom-right figure: 6. **Decompose the figure:** The figure can be split into a large rectangle minus a smaller rectangle notch. - Large rectangle height = 6 m - Large rectangle width = 15 m - Notch rectangle height = 5 m - Notch rectangle width = 4 m 7. **Formulas:** - Area of rectangle = $\text{length} \times \text{width}$ 8. **Calculate areas:** - Large rectangle area = $15 \times 6 = 90$ m$^2$ - Notch rectangle area = $4 \times 5 = 20$ m$^2$ 9. **Total area:** $$\text{Total area} = 90 - 20 = 70 \text{ m}^2$$ --- **Final answers:** - Bottom-left figure area = 90 ft$^2$ - Bottom-right figure area = 70 m$^2$