Question

The polygons in each pair are similar. Find the missing side length.

Answer 1

12

Explanation:

We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.

As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:

`(x)/(15) =(32)/(40) =(32)/(40) \\\\(x)/(15) =(32)/(40) \\\\x=(32*15)/(40) \\\\x=12`