Question

Find the area of the composite figure, which is a semicircle atop a rectangle.

The figure is not drawn to scale.
Bottom is 4 and the height is 13

Answer 1

First, find the area of the rectangle:

Area = base x height

Area = 4 x 13

Area = 52

Next, find the area of the semicircle:

Area = 1/2 x π x r^2

The radius of the semicircle is half the length of the rectangle, which is 2.

Area = 1/2 x π x 2^2

Area = 2π

To find the total area, add the area of the rectangle and the area of the semicircle:

Total Area = rectangle area + semicircle area

Total Area = 52 + 2π

Final Answer: 52 + 2π (square units)