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What is the area of a figure with the vertices at (-2,-2), (0,-6), (8,-2), (8,3), (6,7), (6,2)

User Amosrivera
by
8.6k points

1 Answer

4 votes

Answer:

50

Explanation:

This is a way of calculating the area of a polygon given the vertices.

(-2, -2)

(-2)×(-6) = 12 (0)×(-2) = 0 12 - 0 = 12

(0, -6)

(0)×(-2) = 0 (8)×(-6) = -48 0 - (-48) = 48

(8, -2)

(8)×(3) = 24 (8)×(-2) = -16 24 - (-16) = 40

(8, 3)

(8)×(7) = 56 (6)×(3) = 18 56 - 18 = 38

(6, 7)

(6)×(2) = 12 (6)×(7) = 42 12 - 42 = -30

(6, 2)

(6)×(-2) = -12 (-2)×(2) = -4 -12 - (-4) = -8

(-2, -2)

A = (12 + 48 + 40 + 38 - 30 - 8)/2

A = 50

User Danila Ladner
by
8.1k points

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