Question

the length of the diagonal of a square is 12 under root 2 cm find its area and perimeter

Answer 1

diagonal of square 12 √2
length = sin 45 * diagonal
length = 1/√2 * 12 √2
length = 12 cm
area = a square
area 12×12
area = 144 cm square

Answer 2

Length of the diagonal of a Square = $\sqrt{2}a$= $12 \sqrt{2}$ cm

a = 12 cm

Here a refers to side of three square.

Area of square = a×a = 12×12 = 144 sq.cm

Perimeter = 4a = 4 × 12 = 48 cm