A gardener has k linear meters of low fence | ENEM 2024 Question 146 Yellow Test

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A gardener has k linear meters of low fencing to create an ornamental garden. The garden, delimited by this fence, must have the shape of an equilateral triangle, a square or a regular hexagon. The choice will be the shape that results in the largest area. The gardener will choose the shape of:

A) Regular hexagon, since the area of ​​the garden, in square meters, will be k²√3/24.

B) Regular hexagon, since the area of ​​the garden, in square meters, will be 3k²√3/2.

C) Square, since the area of ​​the garden, in square meters, will be k²/16.

D) Equilateral triangle, since the area of ​​the garden, in square meters, will be k²√3/36.

E) Equilateral triangle, since the area of ​​the garden, in square meters, will be k²√3/4.

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