Question

an equilateral triangle measures $\frac{1}{9}$ of a foot on one side. what is the perimeter of the triangle? create a model that represents the perimeter of the triangle in feet in simplest form.

Explanation:

Step1: Recall equilateral - triangle property

An equilateral triangle has 3 equal - length sides.

Step2: Set up the perimeter formula

The perimeter \(P\) of a triangle is the sum of the lengths of its sides. For an equilateral triangle with side length \(s\), \(P = 3s\).

Step3: Substitute the side - length value

Given \(s=\frac{1}{9}\) foot, then \(P = 3\times\frac{1}{9}\).

Step4: Simplify the expression

\(3\times\frac{1}{9}=\frac{3}{9}=\frac{1}{3}\) foot.

Answer:

\(\frac{1}{3}\) foot