mary put new tiles on her kitchen floor. the floor measures 6 feet long by 5 feet wide. she used 10 tiles to cover the entire floor. each tile was 3 feet long. write an equation using the variable x to model this situation. what does x represent in the equation?

X=30

x = 10

/3

x/3-10
x=30

To write an equation representing this situation, we first need to find the total area of the floor. The area of a rectangle is calculated by multiplying its length by its width. In this case, the length of the floor is 6 feet and the width is 5 feet.

Area of the floor = length × width
Area of the floor = 6 feet × 5 feet

Since the area of the floor is equal to the total area covered by the tiles, we can set up the equation as follows:

Total area covered by tiles = area of the floor

Now, let's find the total area covered by the tiles. Mary used 10 tiles, and each tile is 3 feet long. Therefore, the total length covered by the tiles can be calculated by multiplying the length of one tile by the total number of tiles used (10).

Total length covered by tiles = length of one tile × total number of tiles
Total length covered by tiles = 3 feet × 10

Now, we can substitute the values into our equation:

Total area covered by tiles = area of the floor
3 feet × 10 = 6 feet × 5

Simplifying the equation:

30 feet = 30 feet

In this equation, the variable x represents the length of one tile. So x = 3 feet, as each tile is 3 feet long.