Question

determine if there is a constant of proportionality for the lengths of the diagonals and the perimeters of the squares.

square	side lengths	perimeter
b	7
c	8
d	8.6

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a square with side - length $s$ is $P = 4s$.

Step2: Calculate perimeter of square A

For square A with $s = 6.8$, $P_A=4\times6.8 = 27.2$.

Step3: Calculate perimeter of square B

For square B with $s = 7$, $P_B=4\times7 = 28$.

Step4: Calculate perimeter of square C

For square C with $s = 8$, $P_C=4\times8 = 32$.

Step5: Calculate perimeter of square D

For square D with $s = 8.6$, $P_D=4\times8.6 = 34.4$.

Answer:

Square	Side lengths	Perimeter
B	7	28
C	8	32
D	8.6	34.4