A linear transformation maps a point (𝑥, 𝑦) in the plane to the point (𝑥̂, 𝑦̂) according to the rule

                                  𝑥̂ = 3𝑦, 𝑦̂ = 2𝑥.

Then, the disc 𝑥 ² + 𝑦 ² ≤ 1 gets transformed to a region with an area equal to _________ . (Rounded off to two decimals)

Use π = 3.14