1. **Problem Statement:** Find the area of the given figures. 2. **Formula for area of a square:** $$\text{Area} = \text{side}^2$$ 3. **Formula for area of a rectangle:** $$\text{Area} = \text{width} \times \text{height}$$ 4. **For composite shapes:** Break the shape into rectangles or squares, find each area, then sum them. --- **(1) Square with side 7 m:** $$\text{Area} = 7^2 = 49\text{ m}^2$$ **(2) Square with side 15 cm:** $$\text{Area} = 15^2 = 225\text{ cm}^2$$ **(3) Rectangle with width 6 cm and height 13 cm:** $$\text{Area} = 6 \times 13 = 78\text{ cm}^2$$ **(4) Rectangle with width 18 m and height 9 m:** $$\text{Area} = 18 \times 9 = 162\text{ m}^2$$ **(5) Composite step-shaped figure:** Break into two rectangles: - Top rectangle: width 6 cm, height 4 cm - Bottom rectangle: width 10 cm, height 8 cm - 4 cm = 4 cm Calculate areas: $$6 \times 4 = 24\text{ cm}^2$$ $$10 \times 4 = 40\text{ cm}^2$$ Total area: $$24 + 40 = 64\text{ cm}^2$$ **(6) Composite step-shaped figure:** Break into two rectangles: - Left rectangle: width unknown, height 3 cm - Right rectangle: width 12 cm, height 4 cm Assuming the left rectangle width is the difference between total width and right rectangle width (not given, so assume shape is two rectangles stacked vertically): Area is sum of: $$3 \times 12 = 36\text{ cm}^2$$ $$4 \times 12 = 48\text{ cm}^2$$ Total area: $$36 + 48 = 84\text{ cm}^2$$ **(7) Composite L-shaped figure:** Break into two rectangles: - Left rectangle: width 25 m, height 90 m - Right rectangle: width 80 m, height 30 m Calculate areas: $$25 \times 90 = 2250\text{ m}^2$$ $$80 \times 30 = 2400\text{ m}^2$$ Total area: $$2250 + 2400 = 4650\text{ m}^2$$