Question

What is the area of the figure below? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer 1

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