Calculate the area of the room and then subtract the area of the tiled floor.
area of room = 11 3/4 x 5 = 58 3/4
Area of tiled floor = 7 1/2 x 3 1/4 = 24 3/8
area of carpet = 58 3/4 - 24 3/8 = 34 3/8
answer: 34 3/8
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