Question

the length of the diagonal of a square 8 root 2 cm .find the length of its side and hence find the area of the square. ​

Answer 1

Answer:

★ Side = 8 cm ★

★ Area = 64 cm² ★

Step-by-step explanation:

Given:

• Diagonal of the square is 8√2 cm

To Find:

• Length of the side of the square and also area of the square.

Solution: We know the formula for diagonal of square = √2 x (side)

$\small\implies{\sf }$ 8√2 = √2 x (Side)

$\small\implies{\sf }$ 8√2 /√2 = Side

$\small\implies{\sf }$ 8 cm = Side

Hence, The length of the side of the square is 8 cm.

★ Area of Square = (Side)² ★

$\small\implies{\sf }$ Area of Square = (8)²

$\small\implies{\sf }$ Area of Square = 64 cm²

Hence, The area of the square will be 64 cm²