Dana is finding the perimeter of different-sized squares. There is a proportional relationship between the side length of the square in inches, x, and the perimeter of the square in inches, y.
A square with 2-inch side lengths has a perimeter of 8 inches. Write the equation for the relationship between x and y.
y=


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.

Dana is finding the perimeter of different-sized squares. There is a proportional relationship between the side length of the square in inches, x, and the perimeter of the square in inches, y. A square with 2-inch side lengths has a perimeter of 8 inches. Write the equation for the relationship between x and y. y=

Discover how to write the equation for the perimeter of a square based on its side length. This problem covers proportional relationships and geometry, where the side length of a square determines its perimeter using the formula y = 4x. Suitable for students in Grades 5-7.

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