Another name for pyramid with an equilateral base, could be a square pyramid. It could also be a triangular pyramid.
I have included a picture of each of these nets to show you the areas that would need to be calculated.
To find the area of the services on an equilateral based pyramid, you would need to find the area of the base, and the area of one triangle (lateral face). All the triangular area's leading up to the point on a pyramid would be congruent.
This means if it is a square pyramid you would have four congruent triangles.
If it is a triangular pyramid you would have three congruent triangles in addition to the triangular base.