Question

Toothpicks were arranged to form rows of squares and equilateral triangles. If one toothpick represents one unit, determine the perimeter if we arrange n polygons of the following types.

Answer 1

For the triangle:
For n = 1, P = 3
For n = 2, P = 4
For n = 3, P = 5
For n = 4, P = 6
For n = 5, P = 7
It looks like P(n) = n + 2

Now do the same for the other polygons.