IMAS 2015/2016 Junior Round 2 Question 4

Question 4

$E$ is a variable point on the side $BC$ of a square $ABCD$. $DEFG$ is a rectangle with $FG$ passing through $A$. As the point $E$ moves from $B$ towards $C$, how does the area of $DEFG$ change?

Question illustration

Steadily increasing
Steadily decreasing
Decreasing and then increasing
Increasing and then decreasing
Remaining constant