Answer:
40 in.^2
Step-by-step explanation:
Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.
The area of a right triangle can be found using the equation (a*b)/2.
The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = [tex]\frac{8 * 6}{2}[/tex] = 24 in.^2
The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = [tex]\frac{8 * 4}{2}[/tex] = 16 in.^2
Area of shaded region = 16 + 24 = 40 in.^2
