Area of trapezium?
2 Answers
Explanation:
A great way to remember the area of a trapezium is using this rhyme, sung to the tune of 'Pop goes the Weasel'.
'Add together the parallel sides,
Times half the distance between them,
That's the way the area goes,
Of a trapezium.'
For this trapezium, we would add the parallel sides, so
The next step is to find the length DE. As triangles CDB and CEA have the same ratios, we can use this to calculate DE. The ratio of side to bottom in CDB is
All that is left to find DE, is to take CD away from CE. Therefore,
Then we can continue with our trapezium song. Times half the distance between them, so
Therefore, our area of ABDE is
Explanation:
Area of the Trapezium ABDC
But,
Therefore, by
Otherwise, knowing the Formula,