physical science

Question

1.     A homeowner plans to tile a room 25 ft by 21 ft with tile that is 9.0 in square and cost

   $0.49/tile. The installers will charge $300 labor and the tile is taxed at 8.25%.

   How much, in dollars and cents, will it const the homeowner to tile the room?

Answer 1

First, let's obtain the area of the room:

A = L * W = 25 ft by 21 ft = 525 ft²

^{Now let's covert this to inches remembering that 1 foot is 12 inches. To do this, we simply multiply the area by 12.}

525 ft² = 6300 in²

To find how many tiles we need, we divide this answer by the total area of one single tile:

A of one tile = 9 in * 9 in = 81 in²

Number of tiles = 6300 in²/ 81 in² = 77.8

However, we will need to round up to 78 because we can not buy a percentage of a tile.

For the cost, we multiply 78 by the cost of one tile:

78 * 0.49 = 38.22

For tax, we multiple this by the tax rate of 8.25 which is 0.0825 and add it to the total.

38.22 * 0.0825 = 3.15

38.22 + 3.15 = 41.37

The total cost is $41.37.