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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?

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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: Length of Real House=Length of Doll’s House×81 \text{Length of Real House} = \text{Length of Doll's House} \times 81

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: Length of Real House=1.5m×81 \text{Length of Real House} = 1.5 \, \text{m} \times 81

4. Verify and Summarize

Now, let's perform the multiplication: 1.5×81=121.5m 1.5 \times 81 = 121.5 \, \text{m} 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.

This problem has been solved

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