Question

The ratio of the areas of two squares is 1:4. The ratio of the perimeters is (a) 1 : 4 (b) 1 : 2 (c) 1 : 6 (d) 1 : 8​

Answer 1

Answer:

b) 1 : 2

Step-by-step explanation:

hope it will help you

Answer 2

Answer:

perimeter/perimeter= 16/32= 1:2 answer .

$solution$

Area of a square= side²

Perimeter of a square= 4× side

Let the length of the side of the first square be 'x'

Therefore, its area=x²

Perimeter= 4x

Let the length of the side of the second square be 'y'.

Therefore, its area=y²

Perimeter=4 y

According to question,‍

x²:y²::1:4

→x²/y²=1/4

→4x²=y²

→(2x)²=y²

→y=2x……(I)

Ratio of the perimeters……

→Perimeter of the first square: perimeter of the second square

=4x:4y

=x:y

=x:2x ( from I)

=1:2

That's your answer.

Thanks…