Question

if the diagonal of the square is 3√2cm then find the perimeter ​

Answer 1

Answer:

2.82842712474 cm

GIVEN:

length of diagonal of square =  3√2cm = 1.25992104989 cm = 1.3cm

Formula:

Diagonal of a Square = √2(Side of square)

or, 1.3 = √2(Side of square)

or, 1.3/2 = side of square

or, 1.3 / √2 × √2 / √2 = side of square

or, 1.3√2/2= side of square

Perimeter of Square = 4(Side)

∴   perimeter = 4 × 1.3√2/2

or, perimeter = 4 × 1.41421356237 / 2 = 2.82842712474 cm

Answer 2

If side of the square is = s

∴ It's diagonal = s√2

But it is given that diagonal = (3√2) cm

∴ s√2 = 3√2 ⇒ s = 3 cm.

∵ Perimeter of a square = 4 × s

⇒ P = 4 × 3 cm = 12 cm.

So, the perimeter of the square is 12 cm.