Answer:
To calculate the area of the shaded shape, we need to first find the area of the two rectangles and then subtract the overlap.
The area of the rectangle with dimensions 5m and 13m is:
Area = 5m x 13m = 65 square meters
The area of the rectangle with dimensions 9m and 11m is:
Area = 9m x 11m = 99 square meters
To find the overlap, we need to calculate the width of the shaded region. We can do this by subtracting the length of one rectangle from the other:
13m - 9m = 4m
So the width of the shaded region is 4m.
Now we can find the area of the shaded region by multiplying the width by the length:
Area = 4m x 5m = 20 square meters
Finally, we can find the total area by subtracting the overlap from the sum of the two rectangle areas:
Total Area = (65 + 99) - 20 = 144 square meters
Therefore, the area of the shaded shape is 144 square meters.