Use the result of Exercise 47(b) to find the area enclosed by the polygon with the given vertices.

(a) Pentagon: (0, 0), (2, 0), (3, 2), (1,4), and (-1, 1)

(b) Hexagon: (0, 0), (2, 0), (3, 2), (2, 4), (0, 3), and (-1, 1)

Data from in Exercise 47(b)

(b) Let (x₁, y₁), (x₂, y₂),..., (x_n, y_n) be the vertices of a polygon. Prove that the area enclosed is

Transcribed Image Text:

1/[(x₁₂x₂y₁) + (x₂ V3 — X3Y₂) +・・・ + +. (xn-1n-XnYn-1) + (x₂y₁ − x₁y)]. - -