Find the area of square CDEF with vertices C(–8,2), D(–8,–10), E(4,–10), and F(4,2).

To find the area of a square, we need to know the length of one of its sides.

In this case, we can calculate the length of side CD, which is a vertical line from point C(-8,2) to point D(-8,-10).

The length of a vertical or horizontal line segment is the difference between the y-coordinates (for a vertical line) or the x-coordinates (for a horizontal line).

So, the length of CD is |2 - (-10)| = 12 units.

Since CDEF is a square, all its sides are equal in length. So, the length of each side of the square is 12 units.

The area of a square is given by the formula side^2.

Therefore, the area of square CDEF is 12^2 = 144 square units.