Answer:
356.9 cm² is the answer.
Step-by-step explanation:
The area of the figure can be derived by adding the area of the rectangle and the area of half circle or semicircle.
Length of rectangle = 20 cm
Width of rectangle = 14 cm
So, area is = [tex]20\times14=280[/tex] cm square
Now for semicircle, the radius will be = [tex]\frac{14}{2}=7[/tex] cm
The area can be found as : [tex]\frac{1}{2}\pi r^{2}[/tex]
= [tex]\frac{1}{2}(3.14\times7\times7)[/tex]
= 76.93 cm square
Now adding both the areas, we get the complete area of the figure.
Total area = [tex]280+76.93=356.93[/tex] cm square ≈ 356.9 cm square.