The area of the polygon is 4 square units
How to determine the area of the polygon?
The vertices are given as:
(1, 2), (3, 2), (3, 0), and (1, 0)
The area is then calculated as:
A = 0.5 * |x1y2 - x2y1 +x2y3 - x3y2 + ....... |
So, we have:
A = 0.5 * |1 * 2 - 3 * 2 + 3 * 0 - 2 * 3 + 3 * 0 - 0 * 1 + 1 * 2 - 0 * 1|
Evaluate
A = 0.5 * |-8|
Remove the absolute bracket
A = 0.5 * 8
This gives
A = 4
Hence, the area of the polygon is 4 square units
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