Final answer:
The area of the room is 207 square feet.
Step-by-step explanation:
To find the area of the room, we need to multiply its length by its width. The length of the room is 12 feet and the width is 17¼ feet. To perform the multiplication, we can first convert the width to an improper fraction: 17¼ = 17 + 1/4 = 68/4 + 1/4 = 69/4. Now we can multiply: 12 × 69/4 = 828/4 = 207. The area of the room is 207 square feet.