Answer:
<em>(6pi + 10) m^2</em>
Step-by-step explanation:
The bottom right part is a rectangle, 2 m by 5 m.
A = 2 m * 5 m = 10 m^2
The curved part is a larger semicircle with an inner semicircle missing.
We find the area of the larger semicircle and subtract from it the area of the smaller semicircle.
Larger semicircle: radius = 4 m
area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(4 m)^2 = 8pi m^2
Smaller semicircle: radius = 2 m
area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(2 m)^2 = 2pi m^2
Area of circular part: 8pi m^2 - 2pi m^2 = 6pi m^2
Total area: 6pi m^2 + 10 m^2 = (6pi + 10) m^2
