What is the area of the kite?

Answer: third option
Step-by-step explanation:
You must apply the following formula for calculate the area of a kite:
[tex]A=\frac{d_1*d_2}{2}[/tex]
Where [tex]d_1[/tex] is the lenght of a diagonal of the kite and [tex]d_2[/tex] is the lenght of the other diagonal.
As you can see in the the figure:
[tex]d_1=8ft+16ft=24ft\\d_2=5ft+5ft=10ft[/tex]
Therefore, when you substitute values, you obtain the following result:
[tex]A=\frac{(24ft)(10ft}{2}=120ft^2[/tex]