Answer:
The area is 64squared units
Step-by-step explanation:
Given
[tex]E = (4,4)[/tex]
[tex]F = (-4,4)[/tex]
[tex]G = (-4,-4)[/tex]
[tex]H = (4,-4)[/tex]
Required
The area of the polygon
First, we plot the given coordinates on a plane (See attachment)
From the attachment, we can see that the 4 coordinates make up a square.
Where
[tex]EF = FG = GH = GE = 8\ units[/tex]
So, the area is:
[tex]Area = EF^2[/tex]
Substitute [tex]8[/tex] for [tex]EF[/tex]
[tex]Area = 8^2[/tex]
[tex]Area = 64[/tex]
Hence, the area is 64 squared units
