Find the length of the diagonal of a square whose area is 128 cm 2 . Also find the perimeter.

Question

Philoid · Accepted Answer

Given:

Area = 128 cm²

Let the side of square be s

Area of square = 1/2 × Diagonal²

⇒ 128 = 1/2 × Diagonal²

⇒ Diagonal² = 2 × 128

⇒ Diagonal² = 256

⇒ Diagonal= 16 cm

Area of square = side²

⇒ 128 m² = s²

⇒ s = 8√2 cm

⇒ s = 11.28 cm

Therefore,

Perimeter of square = 4 × 11.28

= 45.12 cm