The diagonal of a square is 24 cm. What is its perimeter?

We know that,

The perimeter of square = 4(side)

and the diagonal of a square = \(\sqrt {2}\)(side)

We have,

Diagonal of square = 24 cm.

= 24 = \(\sqrt {2}\)(side)

= Side = 12\(\sqrt {2}\)

Perimeter of the square = 4 × 12\(\sqrt {2}\) = 48\(\sqrt {2}\) cm