[size=150]In the three types of trapeziums shown below, the sides with length of [i]a[/i] units and [i]b[/i] units are parallel. The perpendicular distance between them is [i]h[/i] units[br][br]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 ![br][br][/size][size=150]Then, answer the questions below the diagrams.[/size]
[size=150]1. What is the area of the parallelogram formed from the 2 identical trapeziums ? (In terms of [i]a[/i], [i]b[/i] and [i]h[/i])[/size]
Area of the parallelogram = base x height[br] = ([i]a [/i]+ [i]b)[/i] [i]h[br][/i]
[size=150]2. What would be the area of one trapezium? (In terms of [i]a[/i], [i]b[/i] and [i]h[/i])[/size]
[size=150]Area of trapezium = Half the area of the parallelogram formed[br] [br] = 1/2 ([i]a[/i] + [i]b[/i]) h[/size]