Show that the points `(-3,2),(-5,-5),(2,-3)` and `(4,4)` are the vertices of a rhombus. Find the area of this rhombus.

Explanation

To show that the points \((-3,2), (-5,-5), (2,-3)\), and \((4,4)\) are the vertices of a rhombus and to find the area of the rhombus, we will follow these steps:

### Step 1: Calculate the lengths of all sides
We will use the distance formula to find the lengths of the sides of the quadrilateral formed by the points.

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
...