When Sarah was 10 years old, she was 130 cm tall.Two years later, her height had increased by 15%.Find Sarah's height when she was 12 years old.

1. Break Down the Problem

To find Sarah's height when she was 12 years old, we need to calculate the increase in height from her height at 10 years old.

2. Relevant Concepts

We need to calculate a 15% increase on her height of 130 cm, which can be found using the formula: $\text{New Height} = \text{Original Height} + \left(\frac{\text{Percentage Increase}}{100} \times \text{Original Height}\right)$

3. Analysis and Detail

1. Original Height at 10 years old = 130 cm
2. Percentage increase = 15%
3. Calculating the increase: $\text{Increase} = \frac{15}{100} \times 130 = 19.5 \text{ cm}$
4. New Height at 12 years old: $\text{New Height} = 130 + 19.5 = 149.5 \text{ cm}$

4. Verify and Summarize

We calculated the increase correctly and summed it with the original height. Sarah's height when she was 12 years old is verified to be correct.

Final Answer

Sarah's height when she was 12 years old was 149.5 cm.