The length of fencing of trapezium shaped field \(ABCD\) is 166\(m\). If \(BC =\) 58\(m\), \(CD =\) 50\(m\) and \(AD =\) 40\(m\), find the area of field.e The side \(AE\) is perpendicular to the parallel side \(AD\) and \(BC\)?
 
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Answer: Area of the field \(=\) \(m²\).