1. **Problem Statement:** Verify if the scale representation of the bedroom and its furniture using the given ratio 1:100 is correct based on the original measurements. 2. **Understanding the Scale:** A scale ratio of 1:100 means that 1 unit on the scale drawing represents 100 units in real life. For example, 1 cm on the drawing equals 100 cm (1 m) in reality. 3. **Original Bedroom Dimensions:** The bedroom is 6 m by 4 m, which is 600 cm by 400 cm. 4. **Scaled Bedroom Dimensions:** Using the scale 1:100, the bedroom should be: $$\frac{600\text{ cm}}{100} = 6\text{ cm}$$ wide and $$\frac{400\text{ cm}}{100} = 4\text{ cm}$$ high. 5. **Check Furniture Dimensions:** - Bed: 200 cm by 100 cm real size, scaled to $$\frac{200}{100} = 2\text{ cm}$$ by $$\frac{100}{100} = 1\text{ cm}$$. - Dresser: 100 cm by 200 cm real size, scaled to $$1\text{ cm} \times 2\text{ cm}$$. - Closet A: 200 cm by 200 cm real size, scaled to $$2\text{ cm} \times 2\text{ cm}$$. - Closet B: 300 cm by 200 cm real size, scaled to $$3\text{ cm} \times 2\text{ cm}$$. 6. **Verify Placement:** The closets are outside the bedroom, which matches the description. 7. **Conclusion:** The scale representation is correct because all scaled dimensions match the original measurements divided by 100, and the spatial arrangement corresponds to the description. **Final answer:** Yes, the scale representation is correct.