To find the area of the shaded region, we need to subtract the area of the rectangle from the area of the larger rectangle.
First,you find the area of the larger rectangle. The length of the larger rectangle is 11 m and the width is 7 m. To find the area, we multiply the length by the width: 11 m * 7 m = 77 m².
Next, you find the area of the rectangle inside the shaded region. The length of this rectangle is 4 m and the width is 2 m. To find the area, we multiply the length by the width: 4 m * 2 m = 8 m².
Now, you can calculate the area of the shaded region by subtracting the area of the rectangle from the area of the larger rectangle: 77 m² - 8 m² = 69 m².Therefore, the area of the shaded region is 69 m².