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Let d(P, OA) le min {d (P, AB), d(P, BC)...

Let `d(P, OA) le min {d (P, AB), d(P, BC), d (P, OC)}` where d denotes the distance from the point to the corresponding line and S be the region consisting of all those points P inside the rectangle `OABC` such that `O = (0, 0), A = (3, 0), B = (3, 2) and C = (0, 2),` which satisfy the above relation, then area of the region S is

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