Calculate the total area of the figure you designed. Show your work. Include the
correct units for area in your answer.
To calculate the total area of the figure, we need to find the area of each individual shape and then add them together.
1. Triangle:
The base of the triangle is 5 units and the height is 8 units.
Area of a triangle = (1/2) * base * height
Area = (1/2) * 5 * 8 = 20 square units
2. Rectangle:
The length of the rectangle is 6 units and the width is 4 units.
Area of a rectangle = length * width
Area = 6 * 4 = 24 square units
3. Circle:
The radius of the circle is 3 units.
Area of a circle = π * radius^2
Area = π * 3^2 = 9π square units
Total area = Area of triangle + Area of rectangle + Area of circle
Total area = 20 + 24 + 9π
Total area ≈ 53.28 square units
Therefore, the total area of the figure is approximately 53.28 square units.