To find the equation for the relationship between the side length $x$ of a square and its perimeter $y$, we use the fact that the perimeter of a square is four times the length of one side.

Given:

• A square with a side length $x = 2$ inches has a perimeter $y = 8$ inches.

Step-by-Step Solution:

The general formula for the perimeter $y$ of a square with side length $x$ is: $y = 4 \times x$

Substituting $x = 2$:

$y = 4 \times 2 = 8$ This confirms the relationship is correct.

Therefore, the equation for the relationship between $x$ and $y$ is:

$y = 4x$

Would you like more details or have any questions?

Related Questions:

1. What is the perimeter when the side length $x = 5$ inches?
2. How does the area of a square change as $x$ increases?
3. If the perimeter is 20 inches, what is the side length of the square?
4. What is the difference in perimeter between squares with side lengths of 3 inches and 7 inches?
5. How would the formula change if dealing with hexagons instead of squares?

Tip:

The perimeter of any polygon is the sum of all its side lengths, so multiplying the length of one side by the number of sides gives the total perimeter.