Square of 200 cm with side of 50 and a dilated square with a side of 40

Question

A square has a perimeter of 200 cm and a side length of 50 cm. The square is dilated to create a square with a side length of 40 cm. Which algebraic representation is correct for the dilation?

Answer 1

40 = K * 50 where k is a fixed number constant

 

K = 40/50 = 4/5

 

S' = 4/5*S

 

Note that the perimeter is 4*40 = 160 = 4/5 x 200