Day 20: A Right Trapezium Indeed

Geometry Level 1

In the trapezium \(ABCD\) where \(AB\) is parallel to \(CD\), \(AB\) is 3 units longer than \(CD\), \(BC = 5\), and \(AD\) is perpendicular to \(AB\).

Given that the area of the trapezium is 34, find the perimeter of the trapezium.


This problem is part of the Advent Calendar 2015.
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