Step-by-step answer:
Between similar figures, if the ratio between the sides is k, then
- ratio between linear measurements, such as diagonals, perimeter, width, heights, etc, are also linear.
Therefore, if the ratio of the corresponding sides is 1:4, the ratio of their perimeters is also 1:4.
Note:
the ratio of area measurements, or surface areas of similar solids, are proportional to k^2.
Similarly, the ratio of volumes of similar solids are proportional to k^3.