Emma is installing a new tile floor. Each tile measures 12 inches by 12 inches. The room in which she is installing the tiles measures 14 feet by 10 feet. If each tile costs $1.25, how much will it cost Emma to complete her project?
first, we convert the given in same units,, let's use ft as units,, since 12 inches = 1 foot, we convert the given dimensions for the tiles into ft:
12 inches = 1 ft
12 inches = 1 ft
then we get the areas of both tiles and floor area to be installed by tiles:
A,tile = 1*1 = 1 sq ft
A,floor = 14*10 = 140 sq ft
dividing 140 and 1
140/1 = 140 tiles
each tile costs $1.25 so, we multiply this to the umber of tiles:
1.25*140 = ?
now solve for the product~
hope this helps~ :)
To calculate the cost of Emma's project, we first need to determine the number of tiles required. Here's how you can do it step by step:
1. Convert the dimensions of the room from feet to inches:
- Length of the room: 14 feet × 12 inches/foot = 168 inches
- Width of the room: 10 feet × 12 inches/foot = 120 inches
2. Calculate the area of each tile:
- Area of one tile = Length × Width = 12 inches × 12 inches = 144 square inches
3. Determine the total area of the room:
- Total area of the room = Length of the room × Width of the room = 168 inches × 120 inches = 20,160 square inches
4. Divide the total area of the room by the area of one tile to find the number of tiles needed:
- Number of tiles = Total area of the room ÷ Area of one tile = 20,160 square inches ÷ 144 square inches = 140 tiles (rounded up)
5. Calculate the cost of the project:
- Cost per tile = $1.25
- Total cost of the project = Number of tiles × Cost per tile = 140 tiles × $1.25 = $175
Therefore, it will cost Emma $175 to complete her tile floor installation project.