Find the area of each of the eight shapes in the composite figure.
(Hint: The hexagon can broken into two trapezoids.)
1. Triangle 1:
Area = 1/2 * base * height
Area = 1/2 * 3 * 4
Area = 6 square units
2. Trapezoid 1:
Area = 1/2 * (base1 + base2) * height
Area = 1/2 * (6 + 3) * 4
Area = 9 square units
3. Trapezoid 2:
Area = 1/2 * (base1 + base2) * height
Area = 1/2 * (6 + 3) * 4
Area = 9 square units
4. Triangle 2:
Area = 1/2 * base * height
Area = 1/2 * 3 * 4
Area = 6 square units
5. Hexagon (trapezoid 3):
Area = 1/2 * (base1 + base2) * height
Area = 1/2 * (3 + 6) * 4
Area = 18 square units
6. Hexagon (trapezoid 4):
Area = 1/2 * (base1 + base2) * height
Area = 1/2 * (3 + 6) * 4
Area = 18 square units
7. Triangle 3:
Area = 1/2 * base * height
Area = 1/2 * 3 * 4
Area = 6 square units
8. Triangle 4:
Area = 1/2 * base * height
Area = 1/2 * 3 * 4
Area = 6 square units
Therefore, the total area of the composite figure is:
6 + 9 + 9 + 6 + 18 + 18 + 6 + 6 = 78 square units.