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Is it a mile?

Mr Tapley said if you walk from the front desk to the door of the new hall and back four times you will have walked a mile. Mr Westerman said that this was nonsense. Freya overheard the conversation, luckily her Mum was there and lent Freya her Fitbit. She couldn't reset it so she wrote down the start distance which was 4.12km. After walking four laps she wrote down the end distance, 5.78km. Who was right? Mr. Tapley or Mr Westerman?
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