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Omni-MATH / Alice and Bob are playing in the forest. They have six sticks of length…

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problem

Alice and Bob are playing in the forest. They have six sticks of length 1,2,3,4,5,61,2,3,4,5,6 inches. Somehow, they have managed to arrange these sticks, such that they form the sides of an equiangular hexagon. Compute the sum of all possible values of the area of this hexagon.
Plain-text mathematical notation (without MathML)
Alice and Bob are playing in the forest. They have six sticks of length 1,2,3,4,5,6 inches. Somehow, they have managed to arrange these sticks, such that they form the sides of an equiangular hexagon. Compute the sum of all possible values of the area of this hexagon.
Original LaTeX notation
Alice and Bob are playing in the forest. They have six sticks of length $1,2,3,4,5,6$ inches. Somehow, they have managed to arrange these sticks, such that they form the sides of an equiangular hexagon. Compute the sum of all possible values of the area of this hexagon.

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Source and history

task_id
c7024f32-1f9d-5e65-a204-5a587199f04c
task_key
test--c7024f32-1f9d-5e65-a204-5a587199f04c
task_revision_id
1
config / split
/ test

Official source

initial import