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Points P, Q, R and S each divide the sides AB, BC, CD and DA respectively in the ratio of 2 : 1.
Join these points to form the quadrilateral PQRS.
What is its area in relation to the original rectangle?
Prove that a triangle with sides of length 5, 5 and 6 has the same area as a triangle with sides of length 5, 5 and 8. Find other pairs of non-congruent isosceles triangles which have equal areas.
Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?