Answer:
Area of the shaded region= [tex]500inch^2[/tex]
Step-by-step explanation:
Area of the shaded region= Area of the triangle- Area of the rectangle
Dimensions of the triangle:
Base= 40 inch
Height= 40 inch
Area of a triangle=[tex]\frac{1}{2}*Base*Height[/tex]
[tex]=\frac{1}{2}*40*40\\\\ =\frac{1}{2} *1600\\\\=800 inch^2[/tex]
Area of the rectangle= Length*Width
Length=30 inch
Width=10 inch
Area:
[tex]= 30*10\\\\=300 inch^2[/tex]
Area of the shaded region= [tex]800-300= 500 inch^2[/tex]
