Question

The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit.

Answer 1

Without the specific measurements of the rectangle and semicircle, we cannot find the exact area of the figure. However, we can provide a general formula for finding the area of this type of figure.

To find the area of the figure, we need to first find the area of the rectangle and the area of the semicircle, and then add them together.

The area of a rectangle is found by multiplying its length by its width:

Rectangle area = length x width

The area of a semicircle is found by first finding the area of the full circle (πr², where r is the radius) and then dividing it by 2:

Semicircle area = 1/2(πr²)

To find the radius of the semicircle, we need to know the width of the rectangle, since the radius is half of the width.

Once we have both areas, we can add them together to find the total area of the figure:

Total area = Rectangle area + Semicircle area

We can then round to the nearest unit as necessary.