Answer:
40.5 m^2
Explanation:
Find the area of the white triangle and subtract it from the area of the square.
The square has a side of 9 m.
The triangle has base 9 m and height 9 m.
area of square = side^2 = 9 m * 9 m = 81 m^2
area of triangle = (1/2)(base)(height) = (1/2)(9 m)(9 m) = 40.5 m^2
area of shaded region = area of square - area of triangle
area of shaded region = 81 m^2 - 40.5 m^2
area of shaded region = 40.5 m^2