Question

the diagonal of a square is 12 square root 2 cm find its perimeter ​

Answer 1

Diagonal of a square = root 2 x side of square

Side = Diagonal /root 2

=> 12 root 2/root 2

=> 12 cm

Perimeter = 4 x side

=> 4 x 12=>48c

Hope it helps you.

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Answer 2

Answer:

$48$

Step-by-step explanation:

Let ABCD be a square.

then,

(AC)² = (AB)² + (BC)² ( bcoz each angle of Square is 90°)

(12√2)² = (AB)² + (AB)² ( bcoz all sides of Square are equal )

12√2 = AB√2

AB = 12

Then,

Perimeter of Square = 4 a ( Here, a = side )

4 × 12

48