Question

The length of the diagonal of a square is 12 square root 2 cm. then what will be its perimeter?
(a) 48 cm.
(b) 24 cm.
(c) 48 square root 2.
(d) 24 square root 2.
(NOTE:- SOLVE THE QUESTION ALSO.)

Answer 1

length of diagonal is =√2a where a is the side of diagonal so in this l=12√2 so a=12 so perimeter is 4a ie 48

Answer 2

Answer:

48 cm.

Step-by-step explanation:

Formula of diagonal of square  = $\sqrt{2} a$

Where a is the side of the square

We are also given that The length of the diagonal of a square is 12 square root 2 cm.

So, $12 \sqrt{2}= \sqrt{2} a$

$12 = a$

Thus the side of the square is 12 cm

Perimeter of square = $4 \times side$

                                 = $4 \times 12$

                                 = $48 cm$

Thus the perimeter of the square is 48 cm.