Answer:
![144ft^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zpocpvwn6q41mkj4rsp0vnf9axa62y53pr.png)
Explanation:
For this problem, we can use the formula for the area of a kite.
![A=(pq)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vlewhanret0i169y90yxk2vfmbrrdlr7vd.png)
Where p and q are the diagonals.
Since line AE starts at the edge of the kite and ends at the center, we can multiply its value by 2 to find the value of the p diagonal.
![6*2=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/phd867l8sra4ovidxtqf3pehlvkjls762r.png)
So diagonal p is 12ft.
Now we can find the value of the q diagonal, which will be adding BE and DE.
![9+15=24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q6up2ycvkhxsgowzp4xcd616qy915b1mxm.png)
So diagonal q is 24ft.
Let's plug them into the area formula I mentioned earlier.
![A=(12*24)/(2) \\ \\ A=(288)/(2) \\ \\ A=144](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h96qqncu0ld95i0yb5be5m2q6s2awv4qxy.png)