find the area of the polygon
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It can be seen, the obtained figure shows a four-sided polygon. In order to understand whether it is a regular polygon or not, we find the distance between all the points.
Length of AB =
√
(
0
−
0
)
2
+
(
2
−
0
)
2
= 2 units
Length of BC =
√
(
2
−
0
)
2
+
(
2
−
2
)
2
= 2 units
Length of CD =
√
(
2
−
2
)
2
+
(
2
−
0
)
2
= 2 units
Length of DA =
√
(
2
−
0
)
2
+
(
0
−
0
)
2
= 2 units
Now that we know the length of all sides of the given polygon is the same, it shows, it is a square. Thus, the area of the polygon ABCD is given as A = (length)2 = (2)2 = 4 square units.
Hence, the area of the polygon with coordinates (0,0), (0, 2), (2, 2), and (2, 0) is 4 square units.
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