We have composite shape consisting of two rectangles with dimensions of one rectangle as 20 feet by (10-6) feet and other rectangle as 6 feet by (20-17) feet.
We know the formula for area of rectangle is given as follows :-
Area of Rectangle = Length x Width
First rectangle's area would be = 20 feet x 4 feet = 80 square feet.
Second rectangle's area would be = 6 feet x 3 feet = 18 square feet.
Area of the room = First rectangle's area + Second rectangle's area.
Area of the room = 80 + 18 = 98 square feet.
Hence, final answer is 98 square feet.