Alright, well first of all, this irregular figure is made up of 2 shapes: an isosceles triangle and a half circle.
To find the area if this figure, we would simply find the area delectably of the triangle and half circle and then add them together.
Area of half circle = (1/2)(Pi * R^2)
= (1/2)(Pi times 8)
= (1/2) times 25.13
= 12.565
Area of triangle: (base * height)/2
= 8 times 12 / 2
= 96/2
= 48
Lastly, we just need to add up 12.565m and 48m together which equals to 60.565.
So, in conclusion, the area of this irregular figure is 60.565m squared.