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Question 1101104: Find the area of the quadrilateral having points (-3,4),(-2,-1),(4,4) and (0,5) as vertices
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Find the area of the quadrilateral having points A(-3,4), B(-2,-1), C(4,4) and D(0,5) as vertices
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A B C D A
-3 -2 4 0 -3
4 -1 4 5 4
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Add the diagonal products starting at the upper left.
--> 3 -8 +20 +0 = 15
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Add the diagonal products starting at the lower left.
--> -8 -4 +0 -15 = -27
The difference is 42
The area is 1/2 that, = 21 sq units
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This method works for all quad's, but the points have to be entered in order around the quad.
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All polygons, not just for 4 sides. Any number of points.
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