# 9 cm² 25 cm² what is the similarity ratio?

##### 1 Answer

May 25, 2018

See explanation.

#### Explanation:

The theorem says that:

**If two figures are simmilar and the scale of similarity is #k# then the ratio of areas of those figures is #k^2#.**

In this question we know that the figures are simmilar and we have the areas given, so we can calculate the similarity ratio. From the theorem we know that

#k^2=25/9#

If we solve this equation we find that the scale of similarity is: