HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH,
which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of
rectangle EFGH?

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.

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HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH, which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of rectangle EFGH?

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HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH,
which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of
rectangle EFGH?