Circle in a trapezium

Geometry Level 4

A circle is inscribed inside a trapezium ABCDABCD such that it touches all 4 sides of this trapezium, as shown above.

Given that the area of this trapezium is 4 and the diameter of the circle is 1, find the value of the ratio ABCD \dfrac {AB}{CD} .

Give your answer to 2 decimal places.

Clarification: ABAB is longer than CDCD.


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