let
x------> the length of the room
y------> the width of the room
we know that
y=2+(2/3)*x-----> equation 1
x=33 ft
substitute the value of x in the equation 1
y=2+(2/3)*33----> y=2+22----> y=24 ft
find the area of the room
area=24*33-----> 792 ft²
the answer is
the area of the room is 792 ft²