Question

determine if there is a constant of proportionality for the lengths of the diagonals and the perimeters of the squares. now look at the relationship between the diagonals and the perimeters for the squares. to determine if there is a constant of proportionality, you can divide the perimeter by the length of the diagonal. this will tell you the number of centimeters in the perimeter for every 1 centimeter in the diagonal. use the calculator to solve and record your answers to the tenths place. square diagonal perimeter perimeter÷diagonal a 9.6 27.2 b 10 28 c 11.3 32 d 12.2 34.4

Explanation:

Step1: Calculate for Square A

Divide the perimeter of Square A by its diagonal: $\frac{27.2}{9.6}\approx2.8$

Step2: Calculate for Square B

Divide the perimeter of Square B by its diagonal: $\frac{28}{10} = 2.8$

Step3: Calculate for Square C

Divide the perimeter of Square C by its diagonal: $\frac{32}{11.3}\approx2.8$

Step4: Calculate for Square D

Divide the perimeter of Square D by its diagonal: $\frac{34.4}{12.2}\approx2.8$

Answer:

Square A: 2.8, Square B: 2.8, Square C: 2.8, Square D: 2.8