Question

The dialogue of a square is X units what is the area of the square in terms of X

Answer 1

The area of the square in terms of x unit is x²/ 2

Diagonal of a square

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