1. **Problem statement:** Calculate the area of the rectangle with given dimensions 6 m (top line) and 4 cm (right line) using the scale 1 : 40,000. 2. **Understanding the scale:** The scale 1 : 40,000 means 1 cm on the drawing represents 40,000 cm in reality. 3. **Convert all measurements to the same unit:** - The top line is 6 m, which is 600 cm. - The right line is 4 cm on the drawing, so the actual length is $4 \times 40,000 = 160,000$ cm. 4. **Calculate the actual dimensions:** - Top line actual length = 600 cm (already in real units) - Right line actual length = 160,000 cm 5. **Calculate the area:** $$\text{Area} = \text{length} \times \text{width} = 600 \times 160,000 = 96,000,000 \text{ cm}^2$$ 6. **Convert area to square meters:** Since $1 \text{ m}^2 = 10,000 \text{ cm}^2$, $$\text{Area} = \frac{96,000,000}{10,000} = 9,600 \text{ m}^2$$ **Final answer:** The area of the rectangle is $9,600 \text{ m}^2$.