# Deriving area of trapezium by using a parallelogram

- Author:
- Lew W. S.

- Topic:
- Area, Parallelogram, Trapezoid

In the three types of trapeziums shown below, the sides with length of

*a*units and*b*units are parallel. The perpendicular distance between them is*h*units Use the "ship's steering wheel" and the "translate" slider to drag out a second trapezium and rearrange such that a larger parallelogram is formed from the two trapeziums ! Then, answer the questions below the diagrams.## Type 1

## Type 2

## Type 3

1. What is the area of the parallelogram formed from the 2 identical trapeziums ? (In terms of *a*, *b* and *h*)

2. What would be the area of one trapezium? (In terms of *a*, *b* and *h*)