Answer:
area of the shade region= [tex]56cm^2[/tex]
Step-by-step explanation:
Area of the shaded region = Area of square - Area of the triangle
Area of the square
[tex]=Side* Side\\ = 8*8\\ = 64 cm^2[/tex]
Area of the Triangle= [tex]\frac{1}{2}*Base*Height\\[/tex]
[tex]Base=4 cm ,Height= 4 cm[/tex]
Area of the triangle= [tex]=\frac{1}{2}*4cm *4cm\\\\=\frac{16}{2}\\ =8 cm^2[/tex]
Area of the shaded region= [tex]64cm^2-8cm^2[/tex]
= [tex]56cm^2[/tex]
So, the area of the shade region= [tex]56cm^2[/tex]
