Geometry with 12
A regular twelve-side polygon's area is and the longest diagonal's length is . We know that is an even positive integer. Which sentence is true?
T is not always an integer.
T is always an integer, but not always divisible by three.
T is always an integer and always divisible by three, but it can't be a square number.
T is always an integer and always divisible by three, and it can be a square number.
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1 solution
Let's see the next figure. We can notice that the twelve-side polygon's area is three times bigger than the square's area. The twelve-side polygon's longest diagonal twice as much long as the square's side.