Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.
Square root of 4 is two
Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.
The formula of the area of a triangle is:
1/2 ( base times height)
Let’s plug in some values
1/2(6 * 6)
Multiply
1/2 (36)
Divide
18
Since the triangles are also congruent, then the shaded side has the same area.
The shaded triangle has an area of 8 cm ^2