1. **State the problem:** Find the area of the compound L-shaped figure made of rectangles with given side lengths. 2. **Identify the rectangles:** The figure can be divided into two rectangles: - Rectangle A (bottom-left): width = 7 mm, height = 7 mm - Rectangle B (top-right vertical): width = 2 mm, height = 6 mm 3. **Formula for area of a rectangle:** $$\text{Area} = \text{width} \times \text{height}$$ 4. **Calculate area of Rectangle A:** $$\text{Area}_A = 7 \times 7 = 49$$ 5. **Calculate area of Rectangle B:** $$\text{Area}_B = 2 \times 6 = 12$$ 6. **Add the areas to get total area:** $$\text{Total Area} = \text{Area}_A + \text{Area}_B = 49 + 12 = 61$$ 7. **Final answer:** The area of the compound figure is **61 square millimeters**.