Question

he diagonal of a square is x units. What is the area of the square in terms of x? XSquare units Square unitS 2x Square units square units​

Answer 1

Answer:

$A=\dfrac{x^2}{2}$

Explanation:

The diagonal of a square is x units.

Let the side of a square is s.

Using pythagoras,

$s^2+s^2=x^2\\\\2s^2=x^2\\\\s^2=\dfrac{x^2}{2}$

The area of the square is,

A = s²

So,

$A=\dfrac{x^2}{2}$

So, the area of a square is $\dfrac{x^2}{2}$sq units.