Answer:
[tex]1,275\ m^{2}[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of complete rectangle minus the area of the smaller inside rectangle
so
[tex]A=(65)(30)-(45)(15)=1,950-675=1,275\ m^{2}[/tex]
Alternative Method
The area of the shaded region is equal to the area of three rectangles
[tex]A=(10)(30)+(45)(15)+(10)(30)=1,275\ m^{2}[/tex]