Given the information below, find the coordinates of the vertices l and p such that abcd=nlpm. a(2,0), b(2, c(-2,4), d(-2,0), m(4,0), n(12,0)

Check the picture,
From the drawing it is clear that ABCD is a square with side length 4 units.

ABCD and NLPM are similar, and the side MN is 8 units. This means that NLPM is a square of side length 8 units.

The order of the letters is important, which means, after M comes N then comes L. With this in mind, there are 2 models we can draw, as drawn in the picture:

I) L(12, 8), P(4, 8)
II) L(12, -8), P(4, -8)

 L(12, 8), P(4, 8)        or         L(12, -8), P(4, -8)