Given:

Diagonal = 24 m

Let the side of square be s

Area of square = 1/2 × Diagonal²

= 1/2 × 24²

= 288 m²

Area of square = side²

⇒ 288 m² = s²

⇒ s = 12√2 m

⇒ s = 16.92 m

Therefore,

Perimeter of square = 4 × 16.92

= 67.68 m