Question

If the perimeter of the square is √128 cm, then find the length of a diagonal of the square? (1) 4 cm (2) 8 cm (3) 4√2 cm (4) 8√2 cm​

Answer 1

Answer:

Answer:- The length of the diagonal is 16 cm and the perimeter is 45.24 cm.

Answer 2

Answer :-

Given :-

• Perimeter of square = √128 cm

To Find :-

• Length of diagonal

Solution :-

Perimeter = 4 × side

→ √128 = 4 × side

→ side = √128 / 4

→ side = √(64 × 2) / 4

→ side = 8√2 / 4

→ side = 2√2

We know that,

Diagonal of square = side √2

Substituting the value -

→ Diagonal = 2√2 × √2

→ Diagonal = 2 × 2

→ Diagonal = 4

Hence, diagonal of square = 4 cm.