Answer:
16.28 m^2
Explanation:
The bottom portion of this figure is a trapezoid with lengths 4 m and 6 m.
Thus, the average length of this trapezoid is 5 m, and the height is 2 m. This leads to (5 m)(2 m) = 10 m as the area.
The upper portion is a semicircle of radius 2 m. The area of this semicircle is
A = (pi)r^2 / 2, which here is A = (pi/2)(2 m)^2, or approximately 6.28 m^2.
Thus, the area of the entire purple figure is 16.28 m^2.