Answer:
area of the figure ≈61.23 cm² to the nearest hundredth
Step-by-step explanation:
To find the area of the figure, we will follow the steps below;
Looking at the figure, we will see that the figure comprises of both semi-circle and a parallelogram
area of figure = area of semicircle + area of parallelogram
 first, we will find the area of the semi-circle
area of a semi-circle = πr² /2
from the diagram given, diameter = 7cm
but diameter = 2r, this implies that radius r = d/2, hence radius r = 7/2 = 3.5 cm
π = 3.14
Lets insert the values into the formula
area of a semi-circle = πr² /2
                                     =3.14×3.5² /2
                                     =3.14×12.25 /2
                                      =19.2325 cm²
Area of a parallelogram = b×h
where b = base and h = height
from the figure given, base b = 7cm   and height h = 6 cm
Lets insert the values into the formula
Area of a parallelogram = b×h
                                        = 7×6
                                        =42 cm²
area of the figure = area of semicircle + area of parallelogram
                                 =19.2325 cm²   +   42 cm²
                                 =61.2325 cm²
                                 ≈61.23 cm² to the nearest hundredth
 
area of the figure ≈61.23 cm² to the nearest hundredth