Answer:
A = 144 cm²
Step-by-step explanation:
Let the side of the square be x. Using Pythagoras theorem for square,
[tex]x^2+x^2=(12\sqrt2)^2\\\\2x^2=288\\\\x=12\ cm[/tex]
The area of the square is given by :
A = side²
Put values in the formula.
A = 12²
A = 144 cm²
So, the area of the square is equal 144 cm².
