Use the image to answer the question. What is the area of the composite figure?

Answer 1

To find the area of the composite figure, we need to divide it into three separate shapes: a rectangle, a triangle, and a semicircle.

1. Rectangle:
Base = 6 cm
Height = 4 cm
Area = Base x Height
Area = 6 cm x 4 cm
Area = 24 cm²

2. Triangle:
Base = 6 cm
Height = 3 cm
Area = (Base x Height) / 2
Area = (6 cm x 3 cm) / 2
Area = 9 cm²

3. Semicircle:
Radius = 2 cm
Area = πr² / 2
Area = π(2 cm)² / 2
Area = π(4 cm²) / 2
Area = 2π cm²

Now, add up the areas of the rectangle, triangle, and semicircle to find the total area of the composite figure:

Total Area = Rectangle Area + Triangle Area + Semicircle Area
Total Area = 24 cm² + 9 cm² + 2π cm²
Total Area ≈ 33.28 cm² (rounded to two decimal places)

Therefore, the area of the composite figure is approximately 33.28 cm².