Question:Meg wants to install square tiles in a rectangular room. How can identifying common factors help her decide if any tiles will need to be cut? Use numbers to help you explain.
If the room's dimensions are multiples of the size of the tiles, she won't need to cut any.
If her tiles measure 12" on a side, then she won't have to cut any if the room's dimensions are in even feet.
An 8' by 12' room will take 96 tiles.
thanks alot Ms.Sue!!!!!!!!!!!!!!!!!!!!!!!!!
You're very welcome, Pratigya.
Meg wants to install square tiles in a rectangular room. How can identifying common factors help her decide if any tiles will need to be cut? Use numbers to help you explain. And if the rooms aren't the size of the tiles then what do I do?
To determine if any tiles will need to be cut, we need to find the common factors between the length and width of the room.
Let's say the length of the room is 10 feet and the width is 6 feet.
1. First, find the factors of the length and width.
- The factors of 10 are 1, 2, 5, and 10.
- The factors of 6 are 1, 2, 3, and 6.
2. Next, find the common factors between them, which are 1 and 2. These factors represent the possible dimensions of the square tiles that can evenly fit the room without cutting.
3. If we use 1 as the common factor, it means we can have 1-foot by 1-foot tiles. Therefore, no tiles will need to be cut, as they will fit perfectly.
4. If we use 2 as the common factor, it means we can have 2-foot by 2-foot tiles. In this case, since the width of the room is not divisible evenly by 2, some tiles will need to be cut to fit the remaining space.
By identifying the common factors, Meg can determine the dimensions of the tiles that will fit the room without cutting or with minimal cutting.