Area of a Polygon Let V0(x0, y0), V1(x1, y1),....., Vn(xn, yn), be the vertices of a simple

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Area of a Polygon Let V0(x0, y0), V1(x1, y1),....., Vn(xn, yn), be the vertices of a simple polygon P, labeled counter clock wise and with V0 = Vn. Show each of the following?
(a) (c x dy = 1 / 2 (x1 + x0) (y1 + y0), where C is the edge V0V1
(b) Area
Area of a Polygon Let V0(x0, y0), V1(x1, y1),....., Vn(xn,

(c) The area of a polygon with vertices having integral coordinates is always a multiple of ½.
(d) The formula in part (b) gives the correct answer for the polygon with vertices (2, 0), (2, -2), (6, -2), (6, 0), (10, 4), and (-2, 4)?

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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