Area of the Square Surrounding a Rectangle

In the coordinate plane, a rectangle has vertices at points A(2, 3), B(2, 7), C(6, 7), and D(6, 3). The rectangle is situated in such a way that side AB is vertical. The rectangle is to be surrounded by a larger square such that each side of the square is tangent to one side of the rectangle. Calculate the area of the square.

Express your answer in square units.