What is the area of the rectangle with vertices at (-6,2), (2,-2), (5,4), and (-3,8)?

59.97 square units .

Explanation:

We are given the coordinates of the rectangle;

(-6,2), (2,-2), (5,4), and (-3,8)

Thus;

Between (-6,2) and  (2,-2)

Magnitude =

Between (2,-2) and (5,4)

Magnitude

Therefore, the length of the rectangle is 8.94 units while the width is 6.708 units

But area of a rectangle is given by;

Area = Length × Width

Therefore;

Area = 6.708 units × 8.94 units

        = 59.97 square units

Therefore the area of the rectangle is 59.97 square units .