Answer:
432 cm²
Step-by-step explanation:
Diagonal of Square = √2a
=> 12√6 = √2a
=> a = 12√6 / √2
=> a = 12√3 ( because √6 can be written as √2 × √3 , so √2 and √2 cancel out)
Now the Area = a²
= (12√3)²
= 144 × 3
= 432 cm²
Answer:
Below in bold.
Step-by-step explanation:
The diagonal forms 2 right triangles in the square,
Applying the Pythagoras Theorem to a triangle:
(12√6)^2 = x^2 + x^2 where x is the side of the square.
144*6 = 2x^2
x^2 (which is the area of the square)
= 144*6 / 2
= 144*3
= 432 cm^2.
