# The ratio of corresponding side lengths are 1:3. the perimeter of the smaller triangle is 36 inches. the area of the smaller triangle is 54 square inches. What is the perimeter and area of the larger figure?

##### 1 Answer

Jul 16, 2017

See explanation.

#### Explanation:

The ratio of the side lengths is

There is a theorem which says:

**The ratio of areas of a similar figures equals the square of the ratio of the similarity**.

In the example the ratio of the similarity is