Math 10 pre calc chpt 1
In a basement renovation, the contractor measured the length of a wall in a square room as 18ft.4in. The width of the doorway is 3 ft. The contractor plans to place wood trim along the bottom of each wall. The trim costs 1.69/ft. What is the cost of the trim for the room, before taxex?
Help struggling
The way it stands:
4 times the length of 18 ft, 4 inches, then subtract 3 ft for the doorway.
Multiply that by 1.69
more realistic:
Will there be any cut-off waste ?
What happens it you can only buy the trim in 8 ft lengths?
This question is much too simplistic.
To find the cost of the trim for the room, we first need to calculate the perimeter of the room. The perimeter of a square is found by multiplying the length of one side by 4.
Given:
Length of the wall = 18 ft 4 in
We need to convert the inches to feet first. Since there are 12 inches in a foot, we divide the inches by 12:
4 in ÷ 12 = 0.33 ft
Now, we can add the length and the converted inches:
Length of the wall = 18 ft + 0.33 ft = 18.33 ft
To calculate the perimeter, we multiply the length by 4:
Perimeter = 18.33 ft × 4 = 73.32 ft
Now that we have the perimeter, we can calculate the cost of the trim. The cost is determined by multiplying the perimeter by the cost per foot:
Cost of trim = Perimeter × Cost per foot
Given:
Cost per foot = $1.69
Substituting the values:
Cost of trim = 73.32 ft × $1.69/ft = $<<73.32*1.69=123.8128>>123.81
Therefore, the cost of the trim for the room, before taxes, is $123.81.
To calculate the cost of the trim for the room, you need to find the perimeter of the room (the total length of all four walls) and then multiply it by the cost of the trim per foot.
First, let's convert all the measurements to the same units. Convert the width of the doorway from feet to inches to match the measurement of the length of the wall.
Width of doorway = 3 ft = 3 ft * 12 in/ft = 36 in
Now, let's calculate the perimeter of the room.
Perimeter = 2 * (length + width)
Length = 18 ft 4 in = 18 ft + 4/12 ft = 18.333 ft
Perimeter = 2 * (18.333 ft + 36 in) = 2 * (18.333 ft + 3 ft) = 2 * 21.333 ft = 42.666 ft
Next, multiply the perimeter by the cost of the trim per foot.
Cost of trim = Perimeter * Cost per foot
Cost of trim = 42.666 ft * $1.69/ft = $72.02894
Therefore, the cost of the trim for the room, before taxes, is approximately $72.03.