Question

1. what is the perimeter of the entire tessellation?

Explanation:

Step1: Analyze the outer - side lengths

The tessellation is made up of equilateral triangles with side length \(a = 5\mathrm{cm}\).
The perimeter of the entire tessellation is composed of 12 side - lengths of the equilateral triangles.

Step2: Calculate the perimeter

The formula for the perimeter \(P\) of a polygon (in this case, the outer - boundary of the tessellation) is \(P=\text{number of outer sides}\times\text{side length}\).
Since the number of outer sides \(n = 12\) and the side length \(a=5\mathrm{cm}\), then \(P = 12\times5\).

Answer:

\(60\mathrm{cm}\)