The cost of fencing of an equilateral triangular park and a square park is the same. If the area of the triangular park is \(16\sqrt{3}\) m\(^2\), then the length of the diagonal of the square park…
Question and options
The cost of fencing of an equilateral triangular park and a square park is the same. If the area of the triangular park is m, then the length of the diagonal of the square park is :
- m
- m
- m
- m
Answer and explanation
Correct answer: D - \(6\sqrt{2}\) m
(sqrt3/4)a^2 = 16sqrt3 gives a = 8, perimeter 24 m. Square perimeter 24 gives side 6 m, diagonal 6sqrt2 m.
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