What is the perimeter measurement of a square land plot whose diagonal spans 8√2?
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Answer: B. 32 m
Explanation
The diagonal of a square equals the side length multiplied by the square root of two. Dividing the given diagonal by the square root of two extracts the base side length. Multiplying the single side length by four calculates the total perimeter of the square. Pythagorean theorem principles govern the geometric relationships within a square and its diagonal. The perimeter of any regular quadrilateral is found by multiplying its side length by four. Diagonal measurements provide a direct method for determining land plot dimensions.
Land surveying utilizes diagonal measurements to verify the squareness of large property plots. Construction layout planning relies on diagonal calculations to ensure structural right angles. Urban planning applications frequently convert diagonal boundary data into standard perimeter metrics. Option A overestimates the perimeter by misapplying the square root multiplier. Option C provides an incorrect value that does not align with the side length extraction. Option D underestimates the perimeter by halving the correct base side dimensions.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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