Answer: 36 cm^2
Explanation:
The right part of this shape is a triangle so we just need to find the area of a triangle and the area of the rectangle and add them to get the total area.
Area of a triangle:
We know the height is 4. The base will be 10 - 8 = 2 since the 10 includes the 8cm which need to be subtracted.
A = b*h/2
= 4*2/2
= 4 cm^2
Area of rectangle:
The height is 4 and the base is 8.
A = b*h
= 4*8
= 32 cm^2
Now we add them to get the total area
A = 4 + 32
A = 36 cm^2