Question

The ratio of the side length of square A to the side length of square B is $4:9$. The side length of square A is $12\mathrm{yards}$. What is the perimeter of square B?

Answer 1

Find the perimeter of square B.

Given,

Side length of square A is $12\mathrm{yards}$.

And, $\frac{SidelengthofsquareA}{SidelengthofsquareB}=\frac{4}{9}$

So, side length of square B will be

$$\begin{gathered} \Rightarrow \frac{12}{SidelengthofsquareB}=\frac{4}{9} \\ \Rightarrow SidelengthofsquareB=27yards \end{gathered}$$

And, we know that perimeter of square = $4\times$length of side of square

So, the perimeter of the square B is $4\times 27=108yards$

Hence, the perimeter of the square B is $108\mathrm{yards}$.