# Math (Algebra)

posted by .

You are planning to lay square tiles on an entire 21125cm by 54925cm rectangular floor without any overlapping. If all the square tiles must be of the same size, what is the least possible number you can lay?

• Math (Algebra) -

21125 = 5^3 13^2
54925 = 5^2 13^3

So, if the tiles are 5^2*13^2 = 4225 cm square, the floor is 5x13 = 65 tiles.

Those are some tiles: 42.25 meters on a side!

## Similar Questions

1. ### Math

Thomas is planning on redoing his bathroom floor with tiles measuring 5in by 8in. The floor has an area of 205in square. What is the least number of tiles he will need?
2. ### ms.sue 5 grade math

Lindsay will lay a certain number of 18-inch square tiles in a line to form a walkway. Which of the following is NOT a possible length for the walkway if she uses only whole tiles?
3. ### Math

Jaden wants to cover the floor with square tiles the same size. The floo measures 315 inches by 108 inches. If she uses only whole tiles, find A) the greatest possible length of each tile B) the number of tiles needed to cover the …
4. ### stats

The dimensions of a rectangular room are 12 feet 10 inches by 10 feet 1 inch. If square tiles of the same size are to cover the floor completely without any overlapping and if only whole tiles will be used, what is the largest possible …
5. ### maths

You are planning to lay square tiles on an entire 21125cm by 54925cm rectangular floor without any overlapping. If all the square tiles must be of the same size, what is the least possible number you can lay?
6. ### Algebra

The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. How many tiles, including parts of tiles, are needed to complete the job?

The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. How many tiles, including parts of tiles, are needed to complete the job?
8. ### Math

Marcus has a large supply of rectangular wooden tiles. He wants to lay them out to form a square such that there are no gaps, and no tiles overlap. Each tile measures 44 mm wide and 56 mm long a) What will be the dimensions of the …
9. ### Math

Renu wants to lay tiles on the floor of her house which is 9m long and 7m wide among the following sizes of tiles which one should she buy so that the floor is tiled without cutting any tiles
10. ### Maths

Mary has 6262 square blue tiles and a number of square red tiles. All tiles are the same size. She makes a rectangle with red tiles inside and blue tiles on the perimeter. What is the largest number of red tiles she could have used?

More Similar Questions

Post a New Question