  A cyclic quadrilateral is called a Brahmagupta quadrilateral if its four
sides, the two diagonals and the area are all given by integers. In this paper
we consider the hitherto unsolved problem of finding two Brahmagupta
quadrilaterals with equal perimeters and equal areas. We obtain two parametric
solutions of the problem -- the first solution generates examples in which each
quadrilateral has two equal sides while the second solution gives
quadrilaterals all of whose sides are unequal. We also show how more parametric
solutions of the problem may be obtained.
