#### Introduction

- A trapezium is a 4 sided shape in which one pair of opposite sides is parallel:
- The parallel sides are called the bases:
**b**_{1} and **b**_{2}. - The distance between the bases is called the height:
**h**. - The equation for the area of a trapezium is:

#### Proof

- If we duplicate the trapezium and rotate it:
- Then we see that the two trapeziums together form a parallelogram.
- The area of a parallelogram is:
- Which in our case is:
- And we just divide this by two (as we only want the area of one of the trapeziums):

#### Code (Python)

```
base1, base2 = 4, 2
height = 3
area = (base1 + base2) * height / 2
print(area) # prints 9.0
```