If the length of 31 cm increased by 35 %, what would the new length
be in meters

To find the new length after a 35% increase, follow these steps:

1. **Find the increase in length**:  
   \[
   \text{Increase} = 31 \, \text{cm} \times \frac{35}{100} = 10.85 \, \text{cm}
   \]

2. **Add the increase to the original length**:  
   \[
   \text{New length in cm} = 31 \, \text{cm} + 10.85 \, \text{cm} = 41.85 \, \text{cm}
   \]

3. **Convert the new length from centimeters to meters**:  
   \[
   \text{New length in meters} = \frac{41.85 \, \text{cm}}{100} = 0.4185 \, \text{m}
   \]

So, the new length is **0.4185 meters**.

Would you like more details or have any other questions?

Here are some related questions:
1. What is the percentage increase if the new length were 50 cm?
2. How do you convert meters to centimeters?
3. How would the length change if the percentage increase was 50% instead of 35%?
4. What would the new length be if the original was 50 cm with the same 35% increase?
5. How do you calculate the original length if you know the increased length and the percentage increase?

**Tip:** When working with percentages, it's useful to remember that you can convert a percentage directly to a decimal by dividing by 100. This helps simplify calculations.

Learn how to calculate the new length in meters after a 35% increase from 31 cm. This problem involves percentage calculations and unit conversions from centimeters to meters. Suitable for students in Grades 7-9.

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