Step 1 :First, we must convert feet to yards. Since 1 yard is equal to 3 feet, we divide the dimensions of the room by 3. So, the room's dimensions in yards are \(\frac{36}{3} \) yards by \(\frac{24}{3} \) yards.
Step 2 :Then, to find the area of the room in square yards, we multiply the length by the width. So, the area of the room is \(\frac{36}{3} \times \frac{24}{3}\) square yards.