A square field has an area of 6050 sq m. What is its diagonal length_________?
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Answer: A. 110m
Explanation
The area of the square field is given as sixty hundred fifty square meters. The diagonal of a square equals the side length multiplied by the square root of two. Squaring the diagonal formula reveals that diagonal squared equals twice the area, resulting in one hundred ten meters. The area of a square is calculated by squaring the length of one of its equal sides. The diagonal divides a square into two congruent right-angled triangles with equal base and height. Multiplying twice the square area by itself and taking the square root yields the exact diagonal length.
Land surveyors calculate square field diagonals to verify boundary layout accuracy and symmetry. Construction workers measure diagonals of building foundations to ensure right-angle squareness. Understanding geometric relationships between area and diagonals is essential for practical geometry. Option B miscalculates the square root extraction, resulting in an incorrect diagonal length value. Option C uses incorrect units of measurement by specifying centimeters instead of meters. Option D overestimates the diagonal length due to calculation errors in the area doubling step.
- Subject
- Mathematics
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- Mathematics
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- Difficulty
- medium
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