Can you help me with this problem please? I would thank you if you can explain it to me.

You want to tile your kitchen floor. The floor measures 12ft by 9ft. How many tiles each a square with side 1 1/2 ft should you purchase for the job?

12 = 8 * 1 1/2

9 = 6 * 1 1/2

so, the floor is 8 tiles by 6 tiles = 48 tiles

Of course, I'd be happy to help you with this problem and explain the process to you.

To determine how many tiles you need, we first need to calculate the area of the kitchen floor. The area of a rectangle is found by multiplying its length by its width. In this case, the length of the floor is 12ft and the width is 9ft.

So, the area of the kitchen floor is 12ft × 9ft = 108 square feet.

Now we have the total area of the floor, but we need to find out how many tiles we need. Each tile measures 1 1/2 ft on each side.

To find out how many tiles cover the entire floor, we divide the total area of the floor by the area of a single tile.

The area of a single tile is calculated by multiplying its side length by itself. In this case, the side length is 1 1/2 ft, so the area of a tile is (1 1/2 ft) × (1 1/2 ft) = 2.25 square feet.

Now, we can divide the total area of the floor by the area of a single tile:

108 square feet ÷ 2.25 square feet = 48 tiles.

Therefore, you will need to purchase 48 tiles, each measuring 1 1/2 ft on each side, to tile your kitchen floor.

I hope this explanation helps you understand the process. Let me know if you have any further questions!