The given points are A(-3,2), B(-5,-5), C(2,-3) and D(4,4).
Thus, diagonal AC is not equal to diagonal BD.
Therefore ABCD is a quadrilateral with equal sides and unequal diagonals
Hence, ABCD a rhombus
Area of a rhombus = \(\frac{1}{2}\times \)(product of diagonals)
= 45 square units.