Question

If the length of the diagonal of a square is $12\sqrt{2}cm$, what is its perimeter?

• A. 38 cm
• B. 44 cm
• C. 48 cm
• D. 54 cm

Answer 1

The correct option is C

48 cm

Given length of the diagonal of a square $=12\sqrt{2}cm$
If 'a' is the side of the square, then the length of diagonal is $a\sqrt{2}$
$\therefore a\sqrt{2}=12\sqrt{2}$
$\Rightarrow a=12$
$\therefore$ Perimeter of the square$=4a=4\times 12=48cm$