4. Suppose your living room is a rectangle measuring 13 feet by 21 feet and it needs new carpet. How much carpet do you need in square yards and how much would your cost be if it is sold at $21 per square yard? Round your first answer to the nearest square yard.
1 yard = 3 feet
13 feet = 4.333 yards
21 feet = 7 yards
A = LW
A = 4.333 * 7
A = 30.33 = 30 square yards
30 * 21 = ?
15 ft by 21ft at the cost 36.80 square yard
To find the amount of carpet needed in square yards, we first need to find the area of the living room. The area of a rectangle is calculated by multiplying its length by its width.
Given the dimensions of the living room: length = 13 feet, width = 21 feet
Area = length * width
Area = 13 feet * 21 feet
To convert the area to square yards, we need to divide by the conversion factor of 9 (since there are 9 square feet in 1 square yard).
Area in square yards = Area in square feet / 9
Let's calculate the area in square feet first:
Area = 13 feet * 21 feet
Area = 273 square feet
Now, let's convert it to square yards:
Area in square yards = 273 square feet / 9
Area in square yards ≈ 30.33 square yards (rounded to the nearest square yard)
So, you would need approximately 30.33 square yards of carpet.
To calculate the cost, we multiply the number of square yards by the price per square yard.
Cost = Area in square yards * Price per square yard
Cost = 30.33 square yards * $21 per square yard
Calculating the cost:
Cost ≈ $636.93
Therefore, the cost of the carpet at $21 per square yard would be approximately $636.93.