Question

the ratio of the areas of two squares is 1:4,
find ratio of their perimeters is ...?​

Answer 1

Answer:

1:2

Step-by-step explanation:

let the side of one square = 4 m

then area is= 16m^

and let second square side is 8m

the. area is 64 m^

perimeter of first is 16m

and perimeter of second is 32m

so ,

area/area= 16/64=1:4

then perimeter is

perimeter/perimeter= 16/32= 1:2 answer . i hope it will help you.

Answer 2

Answer:

Required ratio of perimeter is 1:2.

Step-by-step explanation:

Given ratio of areas of two squares is 1:4.

Let area of first square be x square unit and area of second square be 4x square unit.

We know area of square $= side \: \times side$

So area of the first square is x square unit.

Therefore side of second square is $\sqrt{x}$unit.

Again area of second square $= 4x$square unit.

So, side x side $= 4x$

Therefore side of the Second square is $\sqrt{4x} = \sqrt{2 \times 2 \times x} = 2 \sqrt{x}$unit.

We know perimeter of square $= 4 \times \: \: side$unit.

So perimeter of the first square is $4 \times \sqrt{x}$unit

and perimeter of second square is $4 \times 2 \sqrt{x} = 8 \sqrt{x}$unit.

Ratio of perimeter is $\frac{4 \sqrt{x} }{8 \sqrt{x} } = \frac{4}{8} = \frac{1}{2}$=1:2

Required ratio of perimeter is 1:2.