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Spintwo

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There exists a connection Cbetween area A and points of the perimeter P. Find C. The perimeter and area is based on the intersections of a graph paper. The relation cannot be a function cause if you assume perimeter to be x and the area to by y, there are two values for y. an octagon for example compared to a long rectangle, both with 8 perimeter points have areas of 7 and 3 respectively. So how do you figure this out? Pre-calc question.

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Is this for homework? The forum faq prohibits it.

I'll just give general hints:

1. How does a rectagle have 8 perimeter points, ever?
2. (Possibly) rephrasing the question, if you had the (x,y) coords of each perimeter point how would you find the area? (formula)

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I don't understand the question either, but I know a very curious fact about polygons whose vertices have integer coordinates, which you might find interesting: The area can be computed as

Area = Inner + Border/2 - 1,

where `Inner' is the number of points with integer coordinates that are strictly inside the polygon and `Border' is the number of points with integer coordinates that are on the border of the polygon.

http://en.wikipedia.org/wiki/Pick%27s_theorem

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