A small circle is placed inside a square just touching the sides. The square is on top of a big circle with its vertices on the circle. Finally the big circle is on top of a trapezium which has its sides just touching the circle. Using the measurements and clue given, find the area of the trapezium.

Clue: The small circle has a circumferrence of 12 centimetres.

(This problem was created by Syed Farhan Iskander, age 12, Foxford School and Community College, Coventry).