Answer:
Area of the shaded region=
![500inch^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cbvwzv738epdojd7uybntx5mxusv052riy.png)
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=
![(1)/(2)*Base*Height](https://img.qammunity.org/2021/formulas/mathematics/middle-school/m1249fhnhvxctm3zvvq2jjgi7m6aer79ji.png)
![=(1)/(2)*40*40\\\\ =(1)/(2) *1600\\\\=800 inch^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/32fu35roptdarkjdvaknmkgi8px4js8nu1.png)
Area of the rectangle= Length*Width
Length=30 inch
Width=10 inch
Area:
![= 30*10\\\\=300 inch^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t0wcu9gw4fgn538n9wlnsaxogs595i43x6.png)
Area of the shaded region=
![800-300= 500 inch^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/reb89r5e828qxp3udpn7foszv7g1uwslhr.png)