Question

if the ratio of the area of two squares is 9:1 , the ratio of their perimeter is :​

Answer 1

Answer:

The ratio of the perimeters of the two squares is 1 : 3.

Step-by-step explanation:

The area of a square is: Area = a².

The perimeter of a square is: Perimeter = 4a.

It is provided that the ratio of the areas of two squares is 1:9, i.e.

$\frac{a_{1}^{2}}{a_{2}^{2} }=\frac{1}{9}\\\frac{a_{1}}{a_{2}}=\frac{1}{3}$

Compute the ratio of their perimeters as follows:

$\frac{4a_{1}}{4a_{2}} =\frac{a_{1}}{a_{2}}=\frac{1}{3}$

Thus, the ratio of the perimeters of the two squares is 1 : 3.