Question: (a) Let D be a polygon in R? and let its vertices in anticlockwise order be (x1, y1), (x2, y2),..., (Xn, Yn). Use Green's

(a) Let D be a polygon in R? and let its vertices

(a) Let D be a polygon in R? and let its vertices in anticlockwise order be (x1, y1), (x2, y2),..., (Xn, Yn). Use Green's theorem to prove that the area of D is given by the formula 5 [(x1y2 - X2y1) + (x2y3 X3y2) + + (Xp-1yn - Xn Yn-1) + (Xny1 - X1yn)]. (b) Use the formula from part (a) to derive the area of a parallelogram with base b and height h. Solve part (b)

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