First, break up the shapes into parts. The first one you see is 7 by 4 rectangle on the top.
A=l*w
A=7*4
A=28 for the rectangle, your not done
Now the triangle to the left
A=l*w/2
A=19*10/2
A=95
Now all you got left is the trapezoid, which area's formula is:
A=(b∧1+b∧2*h)/2
A=9+19*8/2
A=112.
Now you have the area for three of the figures, add them up:
112+95+28=235
So in total, the area of this figure is 235 cm^2
