Question

If the ratio of area of two squares is 4:9, then what is the ratio of their perimeter?

Answer 1

Answer:2:3

Step-by-step explanation:

Let the side of the first sq.=x

Therefore, area -----------=x^2

Let the side of the second sq.=y

Therefore, area --------------=y^2

Ratio of their areas/-

→x^2/y^2=4/9

9x^2=4y^2

x=√4y^2/√9

x=2y/3

Hence, side of first sq.=2y/3

Perimeter of first sq.=2y/3×4=8y/3

And perimeter of second sq.=4×y=4y

→Ratio of the perimeter of these sq.=

8y/3/4y=2:3

Hence, the Ratio of the perimeter of these sq.=2:3

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