The diagnol of a square is x units. what is the area of the square in terms of x ?

The side of the square = x/√2

Step-by-step explanation:

All the sides of a square are equal. All the angles are equal to 90°

To find the side of a square

From the figure attached with this answer shows a square.

Let 'x' be the diagonal of the square.

The diagonal make two right angled triangle with angle 45°, 45° and 90°

Therefore the sides are in the ratio 1 : 1 : √2

Here diagonal = x

 side : side : x= side : side : √2

Therefore one side length = x/√2