Answer:
105.12 square centimeters.
Explanation:
To find the area of the composite figure, we need to calculate the areas of the individual shapes and then add them together.
1. Semicircle:
The formula to find the area of a semicircle is (π * r^2) / 2, where r is the radius. In this case, we have the diameter of the semicircle, so we need to divide it by 2 to find the radius. Let's assume the diameter is 8 cm, so the radius would be 8 cm / 2 = 4 cm.
Now, we can calculate the area of the semicircle:
Area of the semicircle = (π * 4^2) / 2 = (3.14 * 16) / 2 = 25.12 cm².
2. Rectangle:
To find the area of a rectangle, we multiply its length and width. Let's assume the length is 10 cm and the width is 6 cm.
Area of the rectangle = length * width = 10 cm * 6 cm = 60 cm².
3. Triangle:
The area of a triangle can be calculated using the formula (base * height) / 2. Let's assume the base is 5 cm and the height is 8 cm.
Area of the triangle = (base * height) / 2 = (5 cm * 8 cm) / 2 = 20 cm².
Now, we can add up the areas of the three shapes to find the total area of the composite figure:
Total area = Area of semicircle + Area of rectangle + Area of triangle
Total area = 25.12 cm² + 60 cm² + 20 cm² = 105.12 cm².
Therefore, the area of the composite figure is approximately 105.12 square centimeters.