The Smiths plan to recarpet their family room, which measures [tex]15 \text{ ft}[/tex] by [tex]20 \text{ ft}[/tex]. How many square yards of carpet are needed?
1. Identify the dimensions of the room: - Length: 15 feet - Width: 20 feet
2. Calculate the area of the room in square feet: - Area = Length × Width - Area = 15 feet × 20 feet = 300 square feet
3. Convert the area from square feet to square yards: - We know that 1 square yard is equivalent to 9 square feet. - To find the number of square yards, we divide the area in square feet by 9. - Area in square yards = 300 square feet / 9 = 33.333...
So, the area of the room is 300 square feet, which is equivalent to approximately 33 and 1/3 (or 33.33) square yards.
Therefore, the Smiths will need 33 and 1/3 (approximately 33.33) square yards of carpet to recarpet their family room.