Question

If the diagonal of a square is 12√2 cm then the perimeter of square is ......Choose the correct alternative answer and fill in the blank.
(A) 24 cm
(B) 24√2 cm
(C) 48 cm
(D) 48√2 cm

Answer 1

option C
DIAGONAL 12root2
so side 12
perimeter =4×12=48

Answer 2

Answer:

perimeter of square = 48 cm

Step-by-step explanation:

Given,

Diagonal of square = $12\sqrt{2}$ cm

Let's consider side of the square is a, then we can write

$\sqrt{a^2\ +\ a^2}\ =\ 12\sqrt{2}$

$=>\ \sqrt{2}a\ =\ 12\sqrt{2}$

=> a =12 cm

Since, perimeter of a square with side "a" can be given by

perimeter of square = 4 x side of the square

                                   = 4 x 12

                                    = 48 cm

So, the perimeter of give square of diagonal $12\sqrt{2}$ is 48 cm.