1. **State the problem:** We have a large rectangle of width 7 meters and height 6 meters. Inside it, there is a smaller rectangle at the top-left corner measuring 1 meter wide and 2 meters high. There is also a U-shaped figure made of two smaller rectangles, each 3 meters wide and 2 meters tall, positioned inside the large rectangle with a 3 meter tall gap between them. We need to find the areas of three regions: Area 1, Area 2, and Area 3. 2. **Identify the areas:** - Area 1: The small rectangle at the top-left corner (1m by 2m). - Area 2: The two smaller rectangles forming the U-shape (each 3m by 2m). - Area 3: The remaining area inside the large rectangle excluding Area 1 and Area 2. 3. **Calculate Area 1:** $$\text{Area 1} = 1 \times 2 = 2 \text{ square meters}$$ 4. **Calculate Area 2:** Each smaller rectangle has area: $$3 \times 2 = 6 \text{ square meters}$$ There are two such rectangles, so: $$\text{Area 2} = 2 \times 6 = 12 \text{ square meters}$$ 5. **Calculate the total area of the large rectangle:** $$7 \times 6 = 42 \text{ square meters}$$ 6. **Calculate Area 3:** Area 3 is the remaining area inside the large rectangle after removing Area 1 and Area 2: $$\text{Area 3} = 42 - (2 + 12) = 42 - 14 = 28 \text{ square meters}$$ **Final answers:** - Area 1 = 2 square meters - Area 2 = 12 square meters - Area 3 = 28 square meters