Calculate the metallic wire length necessary to encircle a square estate spanning 69696 m2 exactly 15 times.
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Answer: A. 15840 m
Explanation
Taking the square root of the given area yields the exact length of one square side. Multiplying the side length by four determines the total perimeter distance of the estate. Multiplying the single perimeter length by fifteen gives the total wire length required. The area of a square is calculated by squaring the length of its side. The perimeter of a square is the sum of all four equal outer boundary sides. Fencing or wiring calculations require multiplying the perimeter by the number of enclosure turns.
Agricultural land fencing projects require precise perimeter and material length estimations. Real estate boundary calculations ensure property owners purchase adequate construction materials. Construction planning depends on accurate geometric conversions between area and linear measurements. Option B results from an arithmetic error during the perimeter multiplication step. Option C underestimates the total wire needed by miscalculating the side length extraction. Option D fails to account for the exact number of encirclements specified in the problem.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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