Question

If the ratio of the area of two squares is $16:1$, then the ratio of their perimeters is $4:1$.

• A. True
• B. False

Answer 1

The correct option is A True

Find the ratio of perimeters:

Given that, the ratio of the area of two squares is $16:1$

$\Rightarrow$$\frac{{a_1}^2}{{a_2}^2}=\frac{16}{1}$

$\Rightarrow$ $\frac{a_1}{a_2}=\frac{4}{1}$

Then, the ratio of perimeter of two squares

$\Rightarrow$ $\frac{4a_1}{4a_2}$ $=\frac{4\times 4}{4\times 1}$

$\Rightarrow$ $=4:1$

Therefore, the given statement is true.