Yes, this is a direct variation.

The perimeter $p$ of a square is given by the formula:

$p = 4n$

Where:

• $p$ is the perimeter,
• $n$ is the side length of the square.

In this equation, the perimeter $p$ is directly proportional to the side length $n$. This means that if you increase $n$, $p$ will increase in direct proportion, and vice versa. This fits the definition of a direct variation, which is represented as $y = kx$, where $k$ is a constant. Here, $k = 4$, the constant of proportionality.

Would you like more details or have any questions?

Here are five related questions:

1. What is the perimeter of a square if the side length $n$ is 7 units?
2. How does the area of a square vary with the side length?
3. What is the difference between direct and inverse variation?
4. How can you identify the constant of proportionality in a direct variation problem?
5. How does the perimeter of a square compare to the perimeter of a rectangle?

Tip: Direct variation problems often involve a constant ratio between two variables, making them easy to spot when the equation has the form $y = kx$.