We want to find the area of the given kite. We can think of the kite as two triangles.
Now we will find the area of each triangle. We can see that the height h of the top triangle is 3.8 kilometers and the height of the bottom triangle is 1.6 kilometers. The base b for both triangles is 6.4 kilometers.
Next, we substitute these values into the formula for the area of a triangle.
A=1/2bh
Substitute
Evaluate
Triangle 1
A_1=1/2( 6.4)( 3.8)
A_1=12.16km^2
Triangle 2
A_2=1/2( 6.4)( 1.6)
A_2=5.12km^2
The area of the top triangle is 12.16 square kilometers and the area of the bottom triangle is 5.12 square kilometers. Finally, let's add both areas to find the total area of the kite.
Area of the Kite
12.16+ 5.12=17.28km^2
