We have 24 small squares in the figure.
Area of the entire figure = 96 sq cm
∴ The area of one small square = 96/24 sq cm = 4 sq cm
Thus, area of each small square = 4 sq cm
⇒ (side) × (side) = 4 sq cm
⇒ side = √4 cm = 2 cm
Now, perimeter of the given figure = 34 × 2 cm = 68 cm