Question

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answer 1

Answer:

Area of the composite figure = 175.1 square units

Step-by-step explanation:

Area of the composite figure given in the picture = Area of the parallelogram + Area of the semicircle formed on one side of the parallelogram

Area of the parallelogram = Base × Height

                                           = 30 × 5

                                           = 150 square units

Area of the semicircle = $\frac{1}{2}(\pi r^{2})$

                                     = $\frac{1}{2}(\pi)(\frac{8}{2})^{2}$

                                     = 8π

                                     = 25.13

                                     ≈ 25.1 square units

Now area of the complete figure = 150 + 25.1

                                                       = 175.1 square units