Answer:
area of the figure ≈61.23 cm² to the nearest hundredth
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