Oriented Polygon
Find the signed area of this oriented pentagon A 1 A 2 A 3 A 4 A 5 with vertices:
A 1 = [ 3 , 6 ] , A 2 = [ 7 , 5 ] , A 3 = [ 7 , 1 ] , A 4 = [ 2 , 2 ] , A 5 = [ 1 , 4 ]
Hint: Use the formula to get area of an oriented side and take the sum of all the signed area of the sides. 2 x 1 y 2 − x 2 y 1
The answer is -21.5.
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