A doll’s house is 81 the size of a real house.The length of the doll’s house is 1.5 m.How long is the real house?
Question
A doll’s house is 81 the size of a real house. The length of the doll’s house is 1.5 m. How long is the real house?
Solution
1. Break Down the Problem
To find the length of the real house, we need to understand the relationship between the size of the doll's house and the real house. The doll's house is 1/81 the size of the real house, meaning that the length of the real house can be calculated by multiplying the length of the doll's house by 81.
2. Relevant Concepts
The length of the real house can be determined by the formula:
3. Analysis and Detail
Given that:
- Length of the doll's house = 1.5 m
- Scale factor = 81
We can substitute the known values into the formula:
4. Verify and Summarize
Now, let's perform the multiplication: This verifies that the length of the real house is indeed calculated correctly.
Final Answer
The length of the real house is 121.5 meters.
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