The area of a square is 144 cm2. What is the length of each of its diagonals?

$6 \sqrt{2}$ cm $12 \sqrt{2}$ cm $14 \sqrt{2}$ cm 12 cm

$14 \sqrt{2}$ cm

We already know that, Area of square = (side)2 Perimeter of the square = 4 × side We have, The area of a square = 144 cm2. So, a2 = 144 = a = 12 We also know that the length of the diagonal of square = \(\sqrt {2}\) side = \(\sqrt {2}\) × (12) = 12\(\sqrt {2}\)cm