# Relations

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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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