First, determine the area of the floor of the new room by multiplying the dimensions in feet.
Area = (12 ft)(15.5 ft) = 186 ft²
Then, we convert the calculated area to yards
(186 ft²)(1 yd/ 3 ft)² = 20.67 yd²
Given that the supplier only delivered 20 yd², approximately 0.67 yd² of your floor will not have carpet.