The base of the pyramid is a square. Since the area of the base is 36, each side is 6.

The distance from the middle of the base (center of the square) to the middle of one of the sides is 3.

The distance from the center of the square to the apex of the pyramid is 10 (since the pyramid is 10 feet tall).

That gives us a right triangle with base 3 and height 10. The hypotenuse of this triangle is sqrt(109).

So, each face of the pyramid has base 6 and "height" of sqrt(109).