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moocher
What's your vision for how the centre hole will look when closed? If you're happy with a slot, a top 125mm will do.
If you want an infinitely small hole (let's ignore the practicalities of the material, the corners need to be the length of half the diagonal, which you can get by pythagoras - square root of (a squared plus b squared)
And that also gives you the shape of the curve, where a is the distance from the centre of the edge you're drawing and b is half the length of the other side.
ETA: Curve of the long side https://www.desmos.com/calculator/fkuqjnmsqd