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## 'Linkage' printed from http://nrich.maths.org/

Four rods, two of length *a* and two of length
*b*, are linked to form a kite, as shown in the diagram. The
linkage is moveable so that the angles change. What is the maximum
area of the kite?

Now suppose the four rods are assembled into a linkage which
makes a parallelogram. What is the maximum area of this
parallelogram?