Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
4
12
To find the area of the figure, we first need to find the area of the rectangle and the area of the semicircle, and then add them together.
Area of rectangle = length x width
Area of rectangle = 4 x 12
Area of rectangle = 48
Area of semicircle = 0.5 x π x r^2 // since it's a semicircle
Area of semicircle = 0.5 x π x 4^2
Area of semicircle = 0.5 x π x 16
Area of semicircle = 8π
Total area = area of rectangle + area of semicircle
Total area = 48 + 8π
Total area ≈ 48 + 8 x 3.14
Total area ≈ 48 + 25.12
Total area ≈ 73.12
Therefore, the area of the figure is approximately 73.1 square units.