Answer
$A: 0,0 \\ B: 0,a \\ C: b,a \\ D: b,0$
Work Step by Step
An ideally placed rectangle, which we will call rectangle ABCD, should have point A placed at the origin, side AB be on the y-axis, and side AD be on the x-axis. Calling the length of AD b and calling the length of AB a, we obtain:
$A: 0,0 \\ B: 0,a \\ C: b,a \\ D: b,0$
