Question

A restaurant owner is replacing the restaurant's bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.

Answer 1

1. 6ft x 6ft.

2. 12 tiles.

3. 1ft, 2ft and 3ft.

Explanation:

The complete question is asking for

1. What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.

2. How many of these largest size tiles are needed?

3. Name more tile sizes that are whole numbers of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.

This question is a factor and multiple problem and we will be working with Higest Common Factor(H.C.F).

1. To find the largest possible tile, we need to know the H.C.F of 24 and 18. Looking for the H.C.F we have 6. Therefore 6 is the side length of this tile and the largest possible tile would be 6ft x 6ft.

2. Since the area of the bathroom is 24 x 18 = 432, the total tiles needed if the largest possible is used will be 432/36 = 12 tiles.

3. Tiles with side lengths that are factors of 6ft can be used. These are 1ft, 2ft and 3ft.