The area of the square in terms of x unit is x²/ 2
<h3>Diagonal of a square</h3>
The expression for the diagonal of a square is written as'
d^2=s^2+s^2
Where
- s² is the area of the square
- d² is the diagonal of the same square
But from the given question we have that the diagonal of the said square is 'x'
Now, let's substitute the values into the expression of the diagonal given above,
d^2=s^2+s^2
d² = s² + s²
We have,
x² = s² + s²
Collect and add like terms
x² = 2s²
But we know that s² represents the area of the square
So,
x² = 2 × area
Make 'area' subject of formula
Area = x²/ 2
Now, we can say that the area of the square in terms of x units is x²/2
Therefore, the area of the square in terms of x unit is x²/ 2
Learn more about diagonal of a square here:
https://brainly.in/question/14468536
#SPJ1
