Question

If the diagonal of a square is 22√2 cm, then the perimeter of square is ____. 

(A) 24 cm 

(B) 24√2 cm 

(C) 48 cm 

(D) 48√2 cm

Answer 1

(C) 48 cm

In ∆ABC, AC² = AB² + BC²

∴ (12²√2)² = AB² + AB²

∴ AB² = (12² x 2)/2 = 12²

∴ AB = 12 cm

∴ Perimeter of ABCD = 4 x 12 = 48 cm