A homeowner wants to carpet three rooms that measure 12 ft × 12 ft, 10 ft × 14 ft, and 21 ft × 20 ft. How many square yards of carpet should be ordered, rounded to the nearest tenth.
The homeowner should order 54.2 square yards of carpet, rounded to the nearest tenth.
To determine the total square yards of carpet needed, we need to find the area of each room in square feet and then convert it to square yards.
Let's start with the first room, which measures 12 ft × 12 ft. To find its area, multiply the length (12 ft) by the width (12 ft):
12 ft × 12 ft = 144 square feet
Now, let's find the area for the second room, which measures 10 ft × 14 ft:
10 ft × 14 ft = 140 square feet
Lastly, we need to find the area of the third room, which measures 21 ft × 20 ft:
21 ft × 20 ft = 420 square feet
Now, we can add up the areas of all three rooms:
144 square feet + 140 square feet + 420 square feet = 704 square feet
To convert the square footage to square yards, divide by 9 (since there are 9 square feet in a square yard):
704 square feet ÷ 9 = 78.22 square yards
Rounded to the nearest tenth, the homeowner should order approximately 78.2 square yards of carpet.
To calculate the total square yards of carpet needed, we need to find the area of each room in square feet, and then convert it to square yards.
1. Calculate the area of the first room:
Area = length × width = 12 ft × 12 ft = 144 sq ft
2. Calculate the area of the second room:
Area = length × width = 10 ft × 14 ft = 140 sq ft
3. Calculate the area of the third room:
Area = length × width = 21 ft × 20 ft = 420 sq ft
4. Add up the areas of all three rooms:
Total area = 144 sq ft + 140 sq ft + 420 sq ft = 704 sq ft
5. Convert square footage to square yards:
Since 1 square yard = 9 square feet, divide the total area by 9:
Total area in square yards = 704 sq ft ÷ 9 = 78.22 sq yd
6. Round the result to the nearest tenth:
Total area in square yards = 78.2 sq yd (rounded to the nearest tenth)
Therefore, the homeowner should order approximately 78.2 square yards of carpet.