Find the length of the diagonal of a square of area 128 cm2. Also find

1.	Find the length of the diagonal of a square of area 128 cm2. Also find its perimeter.
Answer» Area of a square = 128 cm² (given) Let the side of square be ‘a’ Area of square = 1/2 × Diagonal² 128 = 1/2 × Diagonal² Diagonal = 16 cm Area of square = (side)² 128 = a² ⇨ a = 11.31 cm Perimeter of square = 4a = 4 × 11.31 = 45.24 Perimeter of square is 45.24 cm.

Find the length of the diagonal of a square of area 128 cm2. Also find its perimeter.

Answer»

Area of a square = 128 cm² (given)

Let the side of square be ‘a’

Area of square = 1/2 × Diagonal²

128 = 1/2 × Diagonal²

Diagonal = 16 cm

Area of square = (side)²

128 = a²

⇨ a = 11.31 cm

Perimeter of square = 4a = 4 × 11.31 = 45.24

Perimeter of square is 45.24 cm.