TILING A decroative floor pattern has one red square tile surrounded by 12 blue tiles. Write and evaluate an expression to show how many total tiles (red and blue) are needed if there are 15 red tiles. Then make a table showing the total number of tiles if there are 15,20,25, or 30 red tiles.

Question

TILING A decroative floor pattern has one red square tile surrounded by 12 blue tiles. Write and evaluate an expression to show how many total tiles (red and blue) are needed if there are 15 red tiles. Then make a table showing the total number of tiles if there are 15,20,25, or 30 red tiles.

Answer 1

so would it be 12x15? 12x20

? etc...

Answer 2

Not so simple unfortunately

sketch this out on a sheet of paper.
The blue ones must be smaller than the red ones if they are also square and 12 are to surround a red. You end up with 4 on each side of the red. Each blue side is half a red side.
HOWEVER!
Adjacent patterns share blue tiles so if it went on forever in both directions you would really only need half as many or 6 blues for each red. However watch out for the edges of the pattern.

Answer 3

OMG I STILL DON'T UNDERSTAND THT! i have to know how to do it

Answer 4

To find the total number of tiles needed for a decorative floor pattern with 15 red tiles, we'll use the information given that there is one red square tile surrounded by 12 blue tiles.

Let's define the total number of tiles as T. Since there is one red square tile, we add 1 to the number of blue tiles. Each red tile is surrounded by 12 blue tiles, so for each red tile, we add 12 blue tiles. Therefore, the expression to calculate the total number of tiles is:

T = 1 + (12 * 15)

Now we can evaluate this expression to find the answer:

T = 1 + (12 * 15)
T = 1 + 180
T = 181

So, if there are 15 red tiles, a total of 181 tiles (red and blue) would be needed.

To create a table showing the total number of tiles for different amounts of red tiles (15, 20, 25, and 30), we can plug in the values into the expression and evaluate them, as follows:

For 15 red tiles:
T = 1 + (12 * 15)
T = 1 + 180
T = 181

For 20 red tiles:
T = 1 + (12 * 20)
T = 1 + 240
T = 241

For 25 red tiles:
T = 1 + (12 * 25)
T = 1 + 300
T = 301

For 30 red tiles:
T = 1 + (12 * 30)
T = 1 + 360
T = 361

Creating a table with the values:

| Number of Red Tiles | Total Number of Tiles |
|---------------------|----------------------|
| 15 | 181 |
| 20 | 241 |
| 25 | 301 |
| 30 | 361 |

So the table shows the total number of tiles (red and blue) required for different amounts of red tiles.