SOLUTION: What is the area of the parallelogram with coordinates E(1,2), F(3,2), G(-2,-5), H(-4,-5)

Question 930822: What is the area of the parallelogram with coordinates E(1,2), F(3,2), G(-2,-5), H(-4,-5)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What is the area of the parallelogram with coordinates E(1,2), F(3,2), G(-2,-5), H(-4,-5)
Here's a method that works for any polygon. The points have to be entered in order around the polygon and the first point is repeated at the end.
==================
E...F...G...H...E
1...3..-2..-4...1
2...2..-5..-5...2
Add the diagonals starting at the upper left:
2 - 15 + 10 - 8 = -11
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Add the diagonals starting at the lowerer left:
6 - 4 + 20 - 5 = 17
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The difference is 28
The area is 1/2 that, = 14 sq units.

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