Question

Find the perimeter of a square, If its
diagonal is 10√2 cm
​

Answer 1

Answer:

$\large\boxed{\sf{40\;cm}}$

Step-by-step explanation:

Given the Length of diagonal of a square.

d = 10√2 cm

Let the side length be 'a'

But, we know that, diagonal is given by √2a

Therefore, we have,

=> √2a = 10√2

=> a = 10√2/√2

=> a = 10

Therefore, length of side is 10 cm

Now, to find the Perimeter

We know that, for a square,

Perimeter = 4a

=> P = 4 × 10

=> P = 40

Hence, Perimeter of square is 40 cm.

Answer 2

We know that ,perimeter of square is 4*side

=4*10root2
40root2
i.s perimeter=40root 2