1. **Problem Statement:** We need to verify if the given scale ratios 1:100 and 10:1000 correctly represent the measurements of the closets in the table. 2. **Understanding Scale Ratios:** A scale ratio like 1:100 means 1 unit on the drawing corresponds to 100 units in real life. Similarly, 10:1000 means 10 units on the drawing correspond to 1000 units in real life. 3. **Convert all measurements to the same unit:** - For Closet A: 2m, 2m, 4m, 200cm, 200cm, 200cm Convert 200cm to meters: $$200cm = \frac{200}{100} = 2m$$ - For Closet B: 3m, 2m, 6m, 300cm, 200cm, 200cm Convert 300cm to meters: $$300cm = \frac{300}{100} = 3m$$ Convert 200cm to meters: $$200cm = 2m$$ 4. **Check the scale 1:100:** - If the drawing length is 1 unit, the real length is 100 units. - For Closet A, the measurements in meters are 2m, 2m, 4m, 2m, 2m, 2m. - To check if the scale is correct, the drawing measurement should be $$\frac{\text{real measurement}}{100}$$. - For example, 2m real length corresponds to $$\frac{2}{100} = 0.02m$$ on the drawing. 5. **Check the scale 10:1000:** - Simplify 10:1000 to 1:100 (dividing both sides by 10): $$10:1000 = \cancel{10}:\cancel{1000} = 1:100$$ - This means 10:1000 is equivalent to 1:100. 6. **Conclusion:** Both scale ratios 1:100 and 10:1000 represent the same scale. Therefore, the scale ratios are correct and consistent with the measurements given. **Final answer:** The scale ratios 1:100 and 10:1000 are correct and equivalent.