Question

the figures below are similar. the labeled sides are corresponding. what is the perimeter of the smaller square?

Answer 1

Pairs of similar figures have a constant ratio in all its length measures.

Perimeter is a type of length, and the measures of sides are too.

From the given sides, we can calculate this ratio:

`r=(3.9)/(3.8)`

Now, we can use this ratio to calculate the missing perimeter:

`\begin{gathered} r=(P_2)/(P_1) \\ P_1=(P_2)/(r)=(15.6)/(((3.9)/(3.8)))=15.6\cdot(3.8)/(3.9)=15.2 \end{gathered}`

So, the perimeter is:

`P_1=15.2in`