1. **State the problem:** Find the area of the composite figure composed of a large rectangle with a smaller rectangle and a right triangle cut out from the bottom left. 2. **Identify dimensions:** - Large rectangle: length = 25 in, height = 14 in - Small rectangle cut-out: 2 in by 3 in - Right triangle cut-out: base = 2 in, height = 3 in 3. **Formula for area:** - Area of rectangle = length \times height - Area of right triangle = \frac{1}{2} \times base \times height 4. **Calculate area of large rectangle:** $$\text{Area}_{large} = 25 \times 14 = 350$$ 5. **Calculate area of small rectangle cut-out:** $$\text{Area}_{small} = 2 \times 3 = 6$$ 6. **Calculate area of right triangle cut-out:** $$\text{Area}_{triangle} = \frac{1}{2} \times 2 \times 3 = 3$$ 7. **Calculate total cut-out area:** $$\text{Area}_{cut-out} = 6 + 3 = 9$$ 8. **Calculate area of composite figure:** $$\text{Area}_{composite} = \text{Area}_{large} - \text{Area}_{cut-out} = 350 - 9 = 341$$ **Final answer:** The area of the composite figure is $341$ square inches.