We can split this whole figure up into two separate shapes: a square and a triangle.
The square has a length and width of 20 meters, which means its area is 400m^2.
The triangle has a height of 20 meters, which we know from the side lengths of the square. But, we need to find the height. If we know that the entire left side of the figure is 32m and 20m of that is taken by the square, then what's left for the triangle must be 12m.
Therefore, the height of the triangle is 20m and the base is 12m.
1/2 x base x height = 1/2 x 20 x 12 = 120m^2
Area = square + triangle
Area = 400 + 120
Area = 520m^2
Answer: 520 m^2
Hope this helps!