Respuesta :

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]