Question

the ratio of the side length of a square to the squares perimeter is always 1 to 4.
complete the table.

side length of square (inches)	1			7

graph the data from the table.

Explanation:

Step1: Relate side to perimeter

The ratio of side to perimeter is $\frac{1}{4}$, so $\text{Side length} = \frac{\text{Perimeter}}{4}$, and $\text{Perimeter} = 4 \times \text{Side length}$.

Step2: Find side for perimeter 8

Calculate side length: $\frac{8}{4}=2$

Step3: Find side for perimeter 16

Calculate side length: $\frac{16}{4}=4$

Step4: Find perimeter for side 7

Calculate perimeter: $4 \times 7=28$

Step5: Prepare graph points

The coordinate pairs for graphing are $(1,4)$, $(2,8)$, $(4,16)$, $(7,28)$, where the x-axis is side length and y-axis is perimeter.

Answer:

Completed Table:

Side length of square (inches)	Perimeter of square (inches)
2	8
4	16
7	28

Graph Instructions:

Plot the points $(1,4)$, $(2,8)$, $(4,16)$, and $(7,28)$ on the provided grid (with side length on the horizontal axis and perimeter on the vertical axis), then draw a straight line connecting these points.