Answer:
144 m²
Step-by-step explanation:
Radius of square is equivalent to half of its diagonal.
let the side of the square be = a
Area of square = a²
Given,
radius of square,
[tex]\frac{diagonal}{2}=\frac{a\sqrt 2}{2}=\frac{a}{\sqrt 2}=6\sqrt 2 m[/tex]
⇒[tex]a = 12 m[/tex]
Area of the square,
⇒ a² = 12² = 144 m²