Find the area. Round to the nearest tenth. Put the units on the answer. Put units^2 on the answer.

~ This figure appears to be a kite, but we can't confirm that it is one. However, we could simply calculate the area of each triangle and add. If we apply the kite formula though, in addition to this method, if the Areas are the same we can also prove that this figure is indeed a kite.

1. Let us calculate the area of the triangle with dimensions 10 by 6. Applying the triangle formula 1/2 * base * height, it would be:

1/2 * 10 * 6 = 5 * 6 = 30 units^2

2. This second triangle has dimensions 10 by 4. Let us apply the triangle formula once more, as such:

1/2 * 10 * 4 = 5 * 4 = 20 units^2

3. This third triangle has dimensions 3 by 4. Applying the area of triangle formula, we recieve the area as such:

1/2 * 3 * 4 = 2 * 3 = 6 units^2

4. The same for this fourth triangle, with dimensions 3 by 6:

1/2 * 3 * 6 = 3 * 3 = 9 units^2

The area of the figure is thus: 30 + 20 + 6 + 9 = 65 units^2

Now let us apply the kite formula to prove this figure is a kite:

( ( diagonal )( diagonal ) )/2 = ( 13 )( 10 )/2 = 130/2 = 65 units^2