In the given kite, AE = 6 ft , BE =9ft , and DE = 15ft . Determine the area of the kite .
![In the given kite AE 6 ft BE 9ft and DE 15ft Determine the area of the kite class=](https://us-static.z-dn.net/files/d57/0fa5c760ed719701d1bd9aab2275e799.png)
Answer:
The area of a kite is 144 ft².
Step-by-step explanation:
Given information: AE = 6 ft , BE =9ft , and DE = 15ft .
Area of kite is
[tex]A=\frac{1}{2}d_1d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are diagonals of kite.
From the given figure it is clear that BD and AC are diagonals of the kite.
[tex]d_1=BD=BE+DE=9+15=24[/tex]
[tex]d_2=AC=AE+CE=6+6=12[/tex]
The area of given kite is
[tex]A=\frac{1}{2}\times 24\times 12[/tex]
[tex]A=144[/tex]
Therefore the area of a kite is 144 ft².