Question

The perimeter of a square is 64 centimeters. What is the length of the diagonal of the square?

1. 8 cm
2. 8√2 cm
3. 16 cm
4. 16√/2 cm​

Answer 1

16√2 cm

Explanation:

given that,

perimeter (p) = 64 cm

perimeter of square = 4a ( a is the length of one side )

so, 64 = 4a

a = 16 cm

now,

diagonal of a square = √2 a

= 16√2 cm