**perimeters**It is equal to the ratio between the two-sided measures of either polygon.

**Demonstration:**

Being *A B C D* ~ *THE*'*B*'*Ç*'*D*', We have to:

The perimeters of these polygons can be represented as follows:

Perimeter of *ABCDE* (2*P*) = *AB* + *BC* + *CD* + *IN* + *AND THE*Perimeter of *THE*'*B*'*Ç*'D'E' (2*P*') = *THE*'*B*' + *B*'*Ç*' + *Ç*'*D*' + *D*'*AND*' + *AND*'*THE*'

By a property of proportions, we can say that:

Example:

The sides of a triangle measure 3.6 cm, 6.4 cm and 8 cm. This triangle is similar to another whose perimeter measures 45 cm. Calculate the sides of the second triangle.

Similarity ratio =

Solution:

Therefore, the sides of the second triangle are 9cm, 16cm and 20cm.