Question

The perimeter of an equilateral triangle is 72 centimeters.
Let ℓ represent the length of each side of the triangle. Which equation models the problem?
Solve this equation to find the length of each side of the triangle.
centimeters

Answer 1

The perimeter of an equilateral triangle is given by the formula:

\[
\text{Perimeter} = 3 \times \ell
\]

where \( \ell \) is the length of each side. Given that the perimeter is 72 centimeters, we can set up the equation:

\[
3\ell = 72
\]

To solve for \( \ell \), divide both sides of the equation by 3:

\[
\ell = \frac{72}{3}
\]

Calculating this gives:

\[
\ell = 24
\]

Thus, the length of each side of the triangle is \( \boxed{24} \) centimeters.