Answer:
72 square yards
Step-by-step explanation:
If half of the diagonal of a square is 6 yards, then the full diagonal is 12 yards, and then you can find the side length by using the Pythagorean theorem. You know that all of the sides of the square are equal, so let's call them s.
[tex]\sqrt{s^2+s^2}=12[/tex]
[tex]2s^2=144[/tex]
[tex]s^2=72[/tex]
[tex]s=\sqrt{72}[/tex]
Therefore, since the area of a square is the side length squared, the area of this square is 72. Hope this helps!
