Final answer:
To find the area not covered by the rugs, we calculate the area of each rug and multiply by three to find the total rug area, then subtract this from the total floor area of the bedroom. The uncovered area of the floor is 78 square feet.
Step-by-step explanation:
The question involves determining the uncovered area of a bedroom floor after accounting for the area occupied by three identical square rugs. To solve this, we can subtract the total area of the rugs from the area of the bedroom floor.
The area of each rug can be calculated using the formula for the area of a square, which is side length squared. Each rug has a side length of 4 feet, so the area of one rug is 4 feet × 4 feet = 16 square feet. As there are three rugs, we multiply this area by 3 to find the total area occupied by the rugs: 16 square feet × 3 = 48 square feet.
We then subtract this total rug area from the bedroom floor area to find the area not covered by the rugs:
126 square feet (total floor area) - 48 square feet (total rug area) = 78 square feet (uncovered area).
Therefore, 78 square feet of the floor is not covered by the rugs.