Carpeting costs $20 per square yard. You carpeting a room that has a width of 15 feet for $800. What is the length of the room in feet?
First, find out the number of square yards in the room by dividing: $800/20 = 40 square yards
Then, change 15 feet to 5 yards.
Divide: 40/5 = 8 yards wide
Change 8 yards into feet.
First, calculate length (L) in yards. Convert the 15 feet into yards.
$20(L * 5) = $800
Once you find L, multiply that by 3 to get the answer in feet.
I hope this helps. Thanks for asking.
To find the length of the room in feet, we need to first convert the width from feet to yards since the cost is given in dollars per square yard.
1 yard = 3 feet
So, the width of the room in yards is:
Width in yards = 15 feet / 3 feet/yard
Width in yards = 5 yards
Now, we know that the cost of carpeting the room is $800 and the cost is $20 per square yard. Therefore, the area of the room in square yards can be calculated as:
Area = Cost / Price per square yard
Area = $800 / $20/yard
Area = 40 square yards
The area of a rectangle is calculated by multiplying its length and width. Therefore, we can write the equation:
Length × Width = Area
Substituting the known values:
Length × 5 yards = 40 square yards
To solve for the length, divide both sides of the equation by 5 yards:
Length = 40 square yards / 5 yards
Length = 8 yards
Finally, we convert the length from yards to feet:
Length in feet = Length × 3 feet/yard
Length in feet = 8 yards × 3 feet/yard
Length in feet = 24 feet
So, the length of the room is 24 feet.
To determine the length of the room in feet, we need to convert the width from feet to yards. Since carpeting costs are typically calculated in terms of square yards, this conversion will allow us to calculate the area of the room in square yards.
Given that the width of the room is 15 feet, we can convert this measurement to yards by dividing it by 3, as there are 3 feet in a yard. Thus, 15 feet divided by 3 equals 5 yards.
Next, we need to calculate the area of the room in square yards. Since the area of a rectangle is calculated by multiplying the length by the width, we can rearrange this equation to solve for the length.
Let's denote the length of the room as L in yards and the width as W in yards. We know that the width (W) is 5 yards, and the price of carpeting is $20 per square yard. The total cost of carpeting the room is given as $800.
To calculate the area in square yards, we can use the formula:
Area = Length × Width.
Substituting the known values, we have:
Area = L × 5.
And since the total cost is $800 and the cost per square yard is $20, we can also express the area as:
Area = Total Cost ÷ Cost per square yard.
Substituting the known values, we have:
Area = $800 ÷ $20.
Therefore, we can set up the equation:
L × 5 = $800 ÷ $20.
Simplifying, we get:
L × 5 = 40.
To solve for L, we divide both sides of the equation by 5:
L = 40 ÷ 5.
Thus, the length of the room in yards is L = 8 yards.
Finally, to convert the length of the room from yards to feet, we know that 1 yard is equal to 3 feet. Multiplying the length in yards by 3:
Length in feet = 8 yards × 3 = 24 feet.
Therefore, the length of the room is 24 feet.