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:

#k=5/3#