Correct Answer - Option 2 : 5 : 4
Calculation:
Let a be the smaller side of rectangle,
4a is the length longer side.
Area of rectangle = Area of square
⇒ a × 4a = c2
⇒ c = 2a
Perimeter of rectangle = a + 4a + 4a + a =10a
Perimeter of square = 4 × 2a = 8a
Ratio is 10a : 8a = 5 : 4
∴ The ratio of their perimeter of rectangle to square is 5 : 4.