Question

Find the area of the following kite:

Answer 1

Answer:

$48 cm^2$

Step-by-step explanation:

Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.

The 4-by-10 triangle: The area is $4*10/2=40/2=20$.

The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is $20$.

The 4-by-4 triangle: The area is $4*4/2=8/2=4$.

The other 4-by-4 triangle has the same area, $4$.

The total area is $20+20+4+4=\boxed{48} cm^2$.