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.
14
3
To find the area of the figure, we need to find the area of the rectangle and the area of the semicircle, then add them together.
The area of the rectangle is found using the formula A = length * width. In this case, the length is 14 and the width is 3, so the area of the rectangle is 14 * 3 = <<14*3=42>>42 square units.
The area of the semicircle is found using the formula A = (π*r^2)/2, where r is the radius. In this case, the radius is 3, so the area of the semicircle is (π*3^2)/2 = (π*9)/2 = (9π)/2 square units. We can round this to the nearest tenths place by approximating π as 3.14, so the area of the semicircle is (9*3.14)/2 = 14.13 square units.
Adding the area of the rectangle and the area of the semicircle together, we get 42 + 14.13 = <<42+14.13=56.13>>56.13 square units.
Therefore, the area of the figure is approximately 56.1 square units.