A quadrilateral ABCD has vertices A(−2,3), B(4,7), C(8,1) and D(2,−3).
(i) Calculate the lengths of the four sides AB, BC, CD and DA, giving each answer correct to two decimal places.
(ii) Using your answers from part (i), examine whether ABCD is a rhombus. State clear reasons for your conclusion.
(iii) Hence, determine the perimeter of quadrilateral ABCD, correct to two decimal places.