Marcy wants to put tiles on a bathroom floor that measures 10 ft x 12 ft. What kind of square tiles should she buy to tile her floor? Explain.
tile size must divide both the length and width of the floor.
The only common factor of 10 and 12 is 2.
6x6 tiles
To figure out what kind of square tiles Marcy should buy, we need to consider the dimensions of the floor and the size of the tiles.
The first step is to calculate the area of the bathroom floor by multiplying its length and width. In this case, the area would be 10 ft x 12 ft = 120 square feet.
Next, we need to determine the size of the square tiles. Let's assume that the tiles are x feet in length and width.
To cover the entire floor, we need to divide the total area of the floor by the area of each tile. So we have: 120 square feet / (x feet * x feet) = 120 / x^2.
To find out if this equation has a solution, we need additional information. For example, if we know that the tiles come in a certain size, we can substitute that value for x and see if it satisfies the equation.
Let's say that the tiles are 1 ft x 1 ft. In that case, the equation becomes: 120 square feet / (1 ft * 1 ft) = 120 square feet. Since the area of the tiles matches the area of the floor, Marcy would need to buy 120 tiles.
However, if the tiles are larger, let's say 2 ft x 2 ft, then the equation becomes: 120 square feet / (2 ft * 2 ft) = 30 square feet. In this case, Marcy would need to buy fewer tiles, specifically 30 tiles.
Therefore, the kind of square tiles Marcy should buy depends on their size, which will determine the number of tiles needed to cover the floor.