Question

(2) Length of a diagonal of a square is 15root2 cm. Find its perimeter
(A) 15 cm
(B) 30 cm
(C) 45 cm
(D) 60 cm​

Answer 1

Answer:

The right option is (D) 60 cm.

Step-by-step explanation:

The length of the diagonal of square is 15 root 2 cm.

Then, we know that the diagonal of the square is equal to the root2 side : -

$\sqrt{2}x$

Here, x = length of each side of the square.

Acc. To question, diagonal=15root2cm

$\sqrt{2} x = 15 \sqrt{2} \\ x = 15 \sqrt{2} \div \sqrt{2} \\ x = 15$

S0, the length of each side is 15cm.

Therefore,the perimeter of the square is equal to 4×15=60cm.

Hope this helps you my friend.