Find the area of the parallelogram with the following vertices:

(-2, 3), (5, 8), (3, 3), and (0,8)

-12.5

Step-by-step explanation:

To easily get the area of the parallelogram, we will label the vertices.

A = 1, - 2 ... X1, y1

B = 5,8 ... X2, y2

C = 3,3 ... X3, y3

D = 0,8 ... X4, y4

Before that, let me state that:

The Area of a parallelogram is defined as:

1/2 det (X1 (y2 - y3) + X2 (y3 - y1) + X3 (y1 - y2)

In the order from the question:

A = (-2 (8-3) + 5 (3-3) + 3 (3-8)) / 2

A = - 2 (5) + 5 (0) + 3 (-5)

A = - 10 + 0 - 15 / 2

A = - 25/2

A = - 12.5