1. **State the problem:** Find the area of the composite shape consisting of two rectangles and a right triangle arranged horizontally. 2. **Identify the shapes and their dimensions:** - Rectangle 1: width = 10 in, height = 15 in - Rectangle 2: width = 6 in, height = 7 in - Right triangle on top of Rectangle 2: base = 6 in, height = 5 in 3. **Formula for area:** - Rectangle area = width \times height - Triangle area = \frac{1}{2} \times base \times height 4. **Calculate areas:** - Area of Rectangle 1 = $10 \times 15 = 150$ in$^2$ - Area of Rectangle 2 = $6 \times 7 = 42$ in$^2$ - Area of Triangle = $\frac{1}{2} \times 6 \times 5 = 15$ in$^2$ 5. **Add all areas to find total area:** $$\text{Total area} = 150 + 42 + 15 = 207 \text{ in}^2$$ **Final answer:** The area of the composite shape is $207$ square inches.