My works: 20 × 24 = 480 480 ÷ 30 = 16 yards
Answer: You need 16 yards of the carpet to cover the floor that measures 20 feet by 24 feet.
To cover a floor measuring 20 feet by 24 feet with carpeting that is 30 inches wide, one would need 64 yards of carpet. First, the area of the room in square feet is calculated, then divided by the width of the carpet in feet, and finally converted to yards.
To calculate the amount of carpet needed to cover a floor, we need to determine the total area of the floor and then convert that area into the units in which the carpet is sold. In this case, the carpet is sold by the yard, and we know 1 yard equals 3 feet.
The floor measures 20 feet by 24 feet, so the total area in square feet is:
20 ft × 24 ft = 480 ft²
Now, the carpet is 30 inches wide. To work in consistent units, we should convert the width of the carpet from inches to feet:
30 in × (1 ft / 12 in) = 2.5 ft
So the carpet is 2.5 feet wide. Knowing that the length of the carpet that will be required is the same as the longer side of the floor (24 feet), we can compute the total length of carpet needed in feet:
480 ft² / 2.5 ft = 192 ft
Finally, to convert from feet to yards (since carpet is sold by the yard), we use the conversion factor of 3 feet per yard:
192 ft × (1 yd / 3 ft) = 64 yd
Hence, 64 yards of carpet are needed to cover the floor.
To cover a floor of 20 feet by 24 feet using carpeting that is 30 inches wide, you will need 64 yards of carpet. This is calculated by finding the total area of the floor, the width of the carpet in feet, and converting to yards. The entire process involves a few unit conversions and basic area calculations.
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