Question

The area of two squares are in the ratio 3:1 what is the ratio for their perimeters ??

Answer 1

Answer:

ratio of the perimeter of the 2 squares = √3:1

Step-by-step explanation:

ratio of the area of 2 squares = 3:1

let side of the 1st square = a

area of the 1st square = a^2

perimeter of the 1st square = 4a

let side of the 2nd square = b

area of the 1st square = b^2

perimeter of the 1st square = 4b

given, a^2/b^2 = 3/1

=> a/b = √3/1

=> 4a/4b = 4√3/4 = √3/1

So, ratio of the perimeter of the 2 squares = √3:1