Larry The Lamb

Geometry Level 2

A square field ABCDABCD has center OO and side length 2l2l. A rope of length ll connects Larry the lamb at one end to OO at the other end.

The perpendicular from OO to side ADAD forms a wall that Larry cannot pass through. The point PP that is the midpoint of the perpendicular from OO to DCDC forms a peg that will catch on the rope.

What percentage of the field can Larry walk on, to the nearest percent?

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