figure DEFG, is a square, if EG=4 what is the area of the square?

Answer:
B. [tex]4\sqrt{2}[/tex]
Step-by-step explanation:
EG is equal to 4
ED and DG, however, are equal to [tex]x\sqrt{2}[/tex]
So, we can do [tex]x\sqrt{2} = 4[/tex]
This comes out to [tex]x=2\sqrt{2}[/tex]
So, [tex]x^{2}[/tex] is the area of the square.
[tex]2\sqrt{2} ^{2}[/tex] is equal to [tex]4\sqrt{2}[/tex]