Answer:
[tex]\frac{1}{2}x^2[/tex] square units
Step-by-step explanation:
The simple formula we need here is:
[tex]d=s\sqrt{2}[/tex]
Where
d is length of diagonal
s is length of side of square
Let's find side length of square from information given:
[tex]d=s\sqrt{2} \\x=s\sqrt{2} \\s=\frac{x}{\sqrt{2}}[/tex]
Now,
we know area of square is [tex]s^2[/tex]
We know s, and now we find area
Area = [tex]s^2\\(\frac{x}{\sqrt{2}})^2\\\frac{x^2}{2}\\\frac{1}{2}x^2[/tex]
The first answer choice is right, 1/2x^2 sq. units.
