I have a triangle with equal sides. Then a s cons triangle is put in the middle so I have four triangles. Triangles are continued to be put instead so I have more and more triangles. As more triangles are added in the same space, the size of them are getting smaller.

Question

Could you explain why the area is getting smaller but the perimeter is getting larger?

Answer 1

I think you are missing something.

Each added triangle has a smaller area and a smaller perimeter.

I think I am missing something, too. If all the triangles are inscribed into the same area, the total area is unchanged, right? By "the perimeter" do you mean the sum of all the perimeters?