Question

there are two squares S1 and S2 the ratio of their areas is 4 : 25 if the side of the square is S1 is 6 cm what is the length of side of S2? pls give solution fast.

Answer 1

the answer is 15 cm becoz the ratio is the area of 2 squares so to get each side ratio then it will be 2:5. so by taking s1 side as 6 cm then it will be 2x=6 .so x=3 therefore taking x=3 them multiply it with 5 so the length of side s2 is 15 cm

Answer 2

Answer:

The side length of square S2 is 15 cm .

Step-by-step explanation:

Formula

Area of a square = a²

Where a is the side of the square .

As given

There are two squares S1 and S2 the ratio of their areas is 4 : 25

Let us assume that the x be the scalar multiple of area of S1 and S2 .

Area of S1 = 4x

Area of S2 = 25x

if the side of the square is S1 is 6 cm .

Area of S1 = 6²

                 = 36 cm

Thus compare the area of the square of S1 .

36 = 4x

$x = \frac{36}{4}$

x = 9

Putting in the equation

Area of S2 = 25 × 9

                  = 225

Compare the area of the square S2 .

225 = a²

$a = \sqrt{225}$

a = 15 cm

Therefore the side length of square S2 is 15 cm .