Correct Answer - Option 2 : 12 : 1
Given:
Ratio of area of two square = 144 : 1
Formula used:
Area of square = (side)2
Ratio of perimeter = 4 × side
Calculation:
(Area1)2/(Area2)2= 144/1
⇒ (side1)2/ (side2)2=144/1
⇒ Side1/Side2 = 12/1
Ratio of perimeter = (4 × side1)/(4 × side2)
⇒ (4 × 12)/(4 × 1)
⇒ 12 : 1
∴ The ratio of their perimeter is 12 : 1