The perimeter of an equilateral triangle is 168 m. What is the length of the side of the equilateral triangle ?

Answer

To find the length of the side of an equilateral triangle when the perimeter is given, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the properties of an equilateral triangle:**
An equilateral triangle has all three sides of equal length. Let's denote the length of each side as \( a \).

2. **Write the formula for the perimeter of an equilateral triangle:**
The perimeter \( P \) of an equilateral triangle can be calculated using the formula:
\[ P = a + a + a = 3a \]

3. **Set up the equation using the given perimeter:**
We know from the problem that the perimeter is 168 meters. Therefore, we can set up the equation:
\[ 3a = 168 \]

4. **Solve for \( a \):**
To find the length of one side, divide both sides of the equation by 3:
\[ a = \frac{168}{3} \]

5. **Calculate the value:**
Now, perform the division:
\[ a = 56 \]

6. **Conclusion:**
Thus, the length of each side of the equilateral triangle is 56 meters.

### Final Answer:
The length of the side of the equilateral triangle is **56 meters**.