(Originais Teachy 2023) - Question Easy of Physics

A square metal plate with a side of 1 m is uniformly heated, causing it to expand. The metal's surface expansion coefficient is 2 x 10^-5 °C^-1. After heating, a worker needs to make a hole exactly in the center of the plate, but realizes that the hole he originally made when the plate was at 20°C is now at 30°C, resulting in a displaced hole. Considering that the surface expansion is directly proportional to the initial area of the plate and the surface expansion coefficient, and that the area of a square is given by A = L^2 (where L is the side of the square), determine the new area of the plate and the displacement of the hole in centimeters, knowing that the linear expansion of the metal is negligible for the calculation of the hole displacement.