96 cm ^2
Formula for square is (base)(height)
(8cm)(8cm) = 64cm
Formula for triangle is (1/2)(base)(height) and we know that the base is 8 because it is on the side of the square.
(1/2)(4cm)(8cm) = 16cm
There are two triangles so 16 x 2 = 32 cm
Now add them
64cm + 32 cm = 96cm^2