\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The door consists of a square with side length \( x \) meters and a quarter-circle with radius \( x \) meters.
Find the area \( A \) of the door in terms of \( x \).
\( A = \)
\(\text{m}^2\).