Divide the figure into four shapes: triangle, rectangle, half circle. Then find the area for each shape.
Half circle: (3.14(1/2diameter)^2)/2
(3.14(3)^2)/2
3.14(9) / 2
28.26 / 2
= 14.13m^2
Rectangle: base x height
6x3
=18m^2
Triangle: (base x height)/2
(4 x 3)/2
12/2
=6m^2
Then add all those together:
6 + 18 + 14.13
= 38.13m^2
Answer: 38.13m^2