Final answer:
The area of the rectangular floor is 37.125 square feet and 4.125 square yards.
Step-by-step explanation:
To find the area of the rectangular floor, we need to multiply the width by the length. Let's convert the measurements to a common unit first. The width is 4 feet and 6 inches, which is equivalent to 4.5 feet. The length is 8 feet and 3 inches, which is equivalent to 8.25 feet. Now, multiply the width and length to find the area: 4.5 ft x 8.25 ft = 37.125 square feet.
Next, we need to convert square feet to square yards. Since 1 yard is equal to 3 feet, 1 square yard is equal to 3 feet x 3 feet = 9 square feet. Divide the area in square feet by 9 to get the area in square yards: 37.125 square feet ÷ 9 = 4.125 square yards.