Calculate the total area of the figure you designed. Show your work. Include the

correct units for area in your answer.

1 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.