For each of the starting points, it might be a good idea to label some of the side lengths and heights with letters.

**Starting Point 1**

How would you work out the area of the two unshaded triangles? You might need to choose some letters to represent certain quantities...

Using the same letters, can you work out the area of the trapezium?

**Starting Point 2**

How does triangle BEG compare with triangle AEF? How do you know?

How do we know that triangle CED and triangle CFD have the same area?

**Starting Point 3**

The trapezium has been rotated $180^{\circ}$ around F.

Can you prove that ABGH is a parallelogram? It might help to mark angles that you know are equal, and angles that you know add up to $180^{\circ}$.