Answer:
Shaded area is 392
Step-by-step explanation:
The triangles on the left have heights 14 and 14, the ones on the right have 20 and 8.
The bases are equal, so we can compute them as (40-12)/2 = 28/2 = 14
The triangles have areas:
14*14/2 = 14*7 = 98
14*14/2 = 14*7 = 98
20*14/2 = 20*7 = 140
8*14/2 = 8*7 = 56
note that the triangles on the left and the ones on the right have the same total area! That would have happened no matter what the height split was!
The total area is 98+98+140+56 = 196 + 196 = 392
