Question

the diagonal of a square is 20 cm find the side of the square and its perimeter.

Answer 1

diagonal of a square of side a is = √a ( using Pythagoras theorem )

Answer 2

This is your answer.

Given :-

Diagonal of square = 20 cm.

We know that Area of Square =
1/2 × d²

= 1/2 × 20 × 20
= 10×20
= 200 cm².

Also, area = side²
So,
side = √area
side = √200
Side = 10√2 cm.

Perimeter= 4 × side
= 4 × 10√2
= 40√2 cm.

Hence the perimeter of the square is 40√2 cm.

Hope it helps