Let's first find the area of the window:
Area of window = 4 * m * 4 * m = 16 * m^2
Now, let's find the area of the curtain:
Area of curtain = 3 * m * 2.5 * m = 7.5 * m^2
We're given that the area of the window is 2 square meters less than the area of the curtain, so we can set up the following equation:
16 * m^2 = 7.5 * m^2 - 2
Simplifying this equation, we get:
8.5 * m^2 = 2
m^2 = 2 / 8.5
m^2 = 0.2353
Taking the square root of both sides, we get:
m = 0.4851
Therefore, the possible areas of the window are:
16 * m^2 = 16 * (0.4851)^2 = 3.7 square meters (rounded to one decimal place).