Question

a rectangular room measures 12ft by 15 ft. the entire room is to be covered with rectangular tiles that measure 3 in by 2 in. if the tiles are sold at ten for 30 cents, what will it cost to tile the room?

Answer 1

To calculate the cost of tiling a room, find the total area of the room, determine the number of tiles needed, and calculate the cost based on the price per tile. For this particular room, it would cost $129.60 to tile the entire room.

Step-by-step explanation:

To calculate the cost of tiling the room, we need to find the total area of the room and then determine how many tiles are needed to cover that area.

First, we find the area of the room by multiplying the length and width:

Area = Length x Width = 12ft x 15ft = 180ft²

Then, we convert the area to square inches by multiplying by a conversion factor:

180ft² x (12in/1ft) x (12in/1ft) = 25920in²

Next, we determine the number of tiles needed by dividing the area of the room by the area of one tile:

Number of tiles = 25920in² ÷ (3in x 2in) = 4320 tiles

Finally, we calculate the cost by dividing the number of tiles by the number of tiles sold for 30 cents:

Cost = (4320 tiles ÷ 10) x 30 cents = $129.60