SOLUTION: A trapezium ABCD is split into four identical trapezia. Given that AB has length 6 cm, find the area of ABCD. If you would like to assist me with this question please ema

Question 1108613:
A trapezium ABCD is split into four identical trapezia.
Given that AB has length 6 cm, find the area of ABCD.
If you would like to assist me with this question please email me as it has an image of the trapezium abcd as a visual aid.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
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MY BET ABOUT THE IMAGE:

If that is how it is, we know some segment lengths:

We want to know height and .
The large trapezoid and the four smaller trapezoids are similar figures.
So, .

because a negative length does not make sense.
Then,

That makes the area of ABCD the same as the area of AGCE

Although your teacher may prefer
, ,

.
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