Circle in a trapezium

Geometry Level 4

A circle is inscribed inside a trapezium \(ABCD\) 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 \( \dfrac {AB}{CD} \).

Give your answer to 2 decimal places.

Clarification: \(AB\) is longer than \(CD\).

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