In the given kite, AE = 6 ft, BE = 9 ft, and DE = 15 ft. Determine the area of the kite.

Answer:
[tex]144ft^2[/tex]
Step-by-step explanation:
For this problem, we can use the formula for the area of a kite.
[tex]A=\frac{pq}{2}[/tex]
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.
[tex]6*2=12[/tex]
So diagonal p is 12ft.
Now we can find the value of the q diagonal, which will be adding BE and DE.
[tex]9+15=24[/tex]
So diagonal q is 24ft.
Let's plug them into the area formula I mentioned earlier.
[tex]A=\frac{12*24}{2} \\ \\ A=\frac{288}{2} \\ \\ A=144[/tex]