Solve the following problem using what you know about composite figures what is the area of the figure

1 answer

To find the area of the figure, we need to break it down into simpler shapes and then add up their areas.

The figure consists of a rectangle and a semicircle. The rectangle has a length of 7 units and a width of 3 units, so its area is 7 * 3 = 21 square units.

The semicircle has a radius of 3 units (which is half the width of the rectangle). The formula for the area of a circle is A = πr^2, so the area of the semicircle is 1/2 * π * 3^2 = 4.5π square units.

Now, we add the area of the rectangle to the area of the semicircle to get the total area of the figure:
21 + 4.5π ≈ 21 + 14.14 ≈ 35.14 square units.

So, the area of the figure is approximately 35.14 square units.