What is the length of the largest bamboo that fits inside a square with a 100 sq m area__________?
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Answer: B. 14.14m
Explanation
The largest straight object fitting inside a square is its diagonal length. Square area of 100 square meters implies a side length of 10 meters. Multiplying the side length by the square root of two gives 14.14 meters. Square area equals side length squared, giving root 100 equal to 10. Diagonal of a square is calculated as side length multiplied by square root of two. Square root of two is approximately equal to 1.414.
Euclidean geometry principles apply directly to spatial fitting and carpentry problems. Architects and designers calculate diagonal clearances to ensure objects fit through spaces. Pythagorean theorem applications are fundamental in two-dimensional spatial planning. Choosing 10 meters represents only the side length rather than the diagonal. Choosing 20 meters doubles the side length incorrectly without using square root of two. Choosing 25 meters is an arbitrary value unrelated to the square area calculation.
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- Mathematics
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- Mathematics
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- Difficulty
- medium
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