Correct Answer - Option 3 : 24√2
Given:
Area of a rectangle = 96 cm2
Breadth of a rectangle = 8 cm
Formula used:
Area of a rectangle = length × breadth
The perimeter of a square = 4 × side
Diagonal of a square = side × √2
Calculations:
Length of a rectangle be 'x'
Area of a rectangle = x × 8
⇒ 96 = 8 × x
⇒ x = 96 ÷ 8
⇒ x = 12 cm
Diagonal of a square is length of rectangle
√2 × side = 12
Side of a square = 12/√2
Perimter of a side = 4 × (12/√2)
⇒ 24√2 cm
∴ The perimeter of a square is 24√2 cm