So, first we have to separate the figure into three different shapes. What you get is a triangle, a semi-circle, and a rectangle. Lets first start with the triangle.
So, the formula to find the are of a triangle is A=1/2bh
So the height of the triangle is 3 m and the base is 4 m.
So, you have to do A= 1/2×3×4, which equals to 6 m²
So, the area of the triangle is 6 m²
For the rectangle however, the formula to find the area is A=bh
So the base of the rectangle is 6 and the height is 3
So, you do A=6×3, which is 18
So, the area of the rectangle is 18 m²
Now, for the semi-circle, the formula to find the area is A= 1/2×pi×r²
So the radius of the semi-circle is 3 because 6÷2=3
So, what you do is A=1/2×3.14×3²,which equals 14.13
Finally, you have to add all the answers you just got, which would be 6+18+14.13, which would equal 38.13
So, your final answer would be 38.13 m²
