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Question 316969: The kitchen floor of your home is 12 feet 6 inches in width and 10 feet 4 inches in length. You have decided to put in a new tile floor. The tiles that you have selected measure 5 inches on each side.
1. Express the area of the kitchen floor, in square feet, as an improper fraction.
2. Express the area of each tile in square feet.
3. How many tiles are required to tile the floor?
4. Explain hour your answer relates to the real world. i need this broken down into lamins terms
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
I highly suspect you mean that you need the explanation in layman's terms. If not, I don't know what you are talking about because I don't understand the word "lamins"
12 feet 6 inches is 12.5 feet. 
Likewise:
10 feet 4 inches is  feet. 
The area of a rectangle is simply the length times the width.
Each tile is 5 inches by 5 inches, hence the area of a tile is 
A square foot is 12 inches by 12 inches, hence the area of a square foot in square inches is 
Therefore each tile is 
To determine the number of tiles required divide the total number of square feet required by the number of square feet per tile:
\ \div\ \left(\frac{25}{144}\right)\ =\ \left(\frac{775}{6}\right)\ \times\ \left(\frac{144}{25}\right)\ =\ 31\ \times\ 24\ =\ 744)
In real terms, nothing like this comes out exactly. In the first place, even though 12'6" divides evenly into 5" pieces, the distance from the left edge of one tile to the left edge of the adjacent tile is more than the measurement of the tile because the grout takes up some space. 10'4" does NOT divide evenly into 5" pieces, and you still have the grout line spacing to contend with.
Next, you will have to contend with the fact that you probably won't be able to buy 744 tiles. The store will want to sell them in boxes. If they come in boxes of 12 or 24 you are in luck (remember you got to 744 by multiplying 31 times 24) but if they come in boxes of 10 or 20 or 25, you are going to have to buy more than you need in order to have enough. Furthermore, you are going to want to buy extra anyway. Some will break during shipping and handling. You will break some when installing it. You will make mistakes cutting it. You need 10% to 15% more than you calculated in real life.
John
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