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Answer :

Answer:

57.2 units^2

Step-by-step explanation:

The coordinates provided form a parallelogram, not a rectangle.    See the attached image for a diagram of EFGH.  The area of a parallelogram is given by:

Area = (Base) x (Height)

The attachment explains an approach of using right triangles to find the base and height of the parallelogram.  

I'm not confident this was the best approach, so I hope someone would comment if a simpler solution is available.

View image Rspill6