Orbit Area

In the $xy$ plane, there is a point particle of mass $M$ fixed at the origin. There is another particle of mass $m$ whose initial position and velocity are as follows (all quantities in SI units):

$x_0 = -1 \\ y_0 = 0 \\ \dot{x}_0 = 0 \\ \dot{y}_0 = 1.25$

If the moving particle travels under the influence of Newtonian gravity, what is the area enclosed by its elliptical orbit?

Details and Assumptions:
1) $GM = 1$ , where $G$ is the universal gravitational constant
2) $m = 1$