Question 3
(CZS 3) IMO1. In a convex quadrangle with area $32\,\mathrm{cm}^2$, the sum of the lengths of two nonadjacent edges and of the length of one diagonal is equal to $16\,\mathrm{cm}$.
(a) What is the length of the other diagonal?
(b) What are the lengths of the edges of the quadrangle if the perimeter is a minimum?
(c) Is it possible to choose the edges in such a way that the perimeter is a maximum?
(a) What is the length of the other diagonal?
(b) What are the lengths of the edges of the quadrangle if the perimeter is a minimum?
(c) Is it possible to choose the edges in such a way that the perimeter is a maximum?