1. **State the problem:** Find the area of the L-shaped composite figure made of two rectangles with dimensions 10 cm by 6 cm and 8 cm by 12 cm. 2. **Formula:** Area of a rectangle is given by $$A = \text{length} \times \text{width}$$. 3. **Calculate the area of the first rectangle:** $$A_1 = 10 \times 6 = 60 \text{ cm}^2$$ 4. **Calculate the area of the second rectangle:** $$A_2 = 8 \times 12 = 96 \text{ cm}^2$$ 5. **Find the total area of the composite figure by adding the two areas:** $$A = A_1 + A_2 = 60 + 96 = 156 \text{ cm}^2$$ 6. **Final answer:** The area of the composite figure is **156 cm\textsuperscript{2}**.