Answer:
[tex]A=\dfrac{x^2}{2}[/tex]
Explanation:
The diagonal of a square is x units.
Let the side of a square is s.
Using pythagoras,
[tex]s^2+s^2=x^2\\\\2s^2=x^2\\\\s^2=\dfrac{x^2}{2}[/tex]
The area of the square is,
A = s²
So,
[tex]A=\dfrac{x^2}{2}[/tex]
So, the area of a square is [tex]\dfrac{x^2}{2}[/tex]sq units.
