find the ratio of areas from perimeter

Question

The perimeters of two similar figures are 8 in. and 48 in. What is the ratio of the of the two figures?

Answer 1

Tigerlilly, the ratio of the perimeters of the two similar figures is:

 

30/40=3/4. Note: Taking the ratio of the two perimeters is also figuring out the scaling factor of one of the figures. 

 

k=3/4 is the scaling factor.