The bases of a triangular prism are equilateral triangles. The surface area of the prism is 80 square units. If the area of one of the triangular bases is half the area of one of the rectangular faces, what is the area of one of the triangular bases of the prism?

1 answer

base area = B
face area = 2B
total surface (two bases + 3 faces):

2B + 3(2B) = 80