Answer:
The perimeter of the figure as a function of the number of triangles is .
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle (), the total perimeter is (
).
ii) For two triangles (), the total perimeter is (
)
iii) For three triangles (), the total perimeter is (
)
iv) For four triangles (), the total perimeter is (
)
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is .