SOLUTION: the number of diagonals of a regular polygon is 56 in.find the perimeter of the polygon if its apothem measures half of the square of its side length.

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Question 1008890: the number of diagonals of a regular polygon is 56 in.find the perimeter of the polygon if its apothem measures half of the square of its side length.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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The number of diagonals of a regular polygon is 56 in.
Find the perimeter of the polygon if its apothem measures half of the square of its side length.
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It is also a joking problem.

The number of diagonals of a regular polygon can not be 56.
There is no such a polygon.
Such a polygon does not exist.

    Hint: the number of diagonals of a convex  n-gon is   n%2A%28n-3%29%2F2%29.
              Try to find a convex polygon with 56 diagonals.
              Or, which is the same, try to find such whole number  n  that   n%2A%28n-3%29%2F2 = 56.

I just do not pay attention that the number of diagonals in the condition is measured in inches.
Hahaha.

Thank you for this joking problem :)