Answer:
288 square units
Explanation:
The formula for the area of a square when you know its diagonal is:
![(1)/(2) d^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fssx24vr2iq7fi02t888mm1yow9pmfdb9q.png)
So, since we know the half diagonal is 12, we need to multiply that by 2 to get the diagonal, which is 24.
Put 24 into the formula.
![(1)/(2) * 24^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/apoxkvbyyeil96id4ljtr2ff0qnj6omodc.png)
Simplify the exponent.
![(1)/(2) * 576](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3q42p5n0tcf9tp56yqxx9r6xyp8wrtgdlb.png)
Finally, multiply.
![288](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8npybmnrxwxs81mh9ji4ok3502ipl4wo5n.png)