1. **State the problem:** We have a rectangular garden measuring 30 m by 18 m, drawn to a scale of 1 : 300. We need to find the dimensions of the drawing in cm and then calculate the area of the drawing. 2. **Understand the scale:** The scale 1 : 300 means 1 unit on the drawing represents 300 units in real life. 3. **Convert real dimensions to drawing dimensions:** - Real length = 30 m - Real width = 18 m Since 1 m = 100 cm, convert real dimensions to cm: - Length = 30 \times 100 = 3000 cm - Width = 18 \times 100 = 1800 cm 4. **Apply the scale to find drawing dimensions:** $$\text{Drawing length} = \frac{3000}{300} = 10 \text{ cm}$$ $$\text{Drawing width} = \frac{1800}{300} = 6 \text{ cm}$$ 5. **Calculate the area of the drawing:** $$\text{Area} = \text{length} \times \text{width} = 10 \times 6 = 60 \text{ cm}^2$$ **Final answers:** - Drawing dimensions: 10 cm by 6 cm - Area of the drawing: 60 cm²