Question 972157: Maria's rectangular kitchen floor is 6m by 2.5m. The tiles she wishes to purchase are 11.5" x 11.5". Each tile will cover an area of 1ft2. How many tiles does Maria need to purchase to cover her floor?
My work so far:
Total area to cover
A=lw
A= (2.5)(6)
A= 15 m2 is the area to cover the kitchen floor.
1ft2 = 12" inch tiles.
I'm a bit confused past this point in finding out how many tiles Maria needs to purchase. Any help would be greatly appreciated. Thank you.
Found 2 solutions by KMST, solver91311:
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Maybe Marķa's kitchen was designed using SI measures, but she buys American tiles, and they measure those in inches.
We will need to convert units at some point.
You may have been given some conversion factors in class, or maybe you are expected to look them up.
I could look up how many square feet there are in a square meter, but that may be a conversion factor you are not expeted to use.
I know that 1 inch is 2.54 cm, and that 1 foot is 30.48cm, which is 0.3048m.
A tile that covers a square 1 ft by 1 ft (1 square foot), covers
 .
So, to cover  with tiles such that each one covers  , you need
 .
Of course, Marķa needs more than that, because cutting tiles to make them fit is a messy business,
and cut tiles break in unexpected, undesired ways.
Even if every cut was flawless, using only 161.5 tiles would cause some spaces on the corners and edges to be covered with many tiny pieces of tile.
I would figure out that along the 2.5 m length of the kitchen,
Marķa would lay a row of  tiles,
and that there would be  such rows across the width of the kitchen.
Allowing for 20 tiles (one to be cut) for each row,
and allowing for 9 rows (one row to be made of cut tiles) across the width of the kitchen,
I would calculate that Marķa should buy at least  tiles.
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
One meter is approximately equal to 3.28084 feet. So One square meter is approximately equal to 10.76391 square feet. Since you have 15 square meters to cover you need 15 times 10.76391 = approximately 161.5 square feet. Since each tile is 1 square foot, round up to the next integer: 162 tiles. I would add 10% and round up to the next even multiple of the number of the style of tile that comprises an even box. So if 10 or 12 tiles come in a box, I would buy either 18 or 15 boxes.
John
My calculator said it, I believe it, that settles it
|
|
|
