GAUSS8 1999 Problem 25

Four identical isosceles triangles border a square of side 6\:cm, as shown. When the four triangles are folded up they meet at a point to form a pyramid with a square base. If the height of this pyramid is 4\:cm, the total area of the four triangles and the square is

Image

Answer Choices
A. 84\:cm^2
B. 98\:cm^2
C. 96\:cm^2
D. 108\:cm^2
E. 90\:cm^2