A decorative floor pattern has 1red square tile surrounded by 12 blue tiles.write and evaluate an expression to show how many total red and blue tiles 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
To determine the total number of red and blue tiles needed in the decorative floor pattern, we can use the given information that there is 1 red square tile surrounded by 12 blue tiles.
Let's start by writing an expression to calculate the total number of tiles. Let "R" represent the number of red tiles, and "B" represent the number of blue tiles.
The total number of tiles in the floor pattern can be calculated as follows:
Total = R + B
Since there is 1 red tile and 12 blue tiles surrounding it, we know that B = 12. Substituting this value into the expression, we have:
Total = R + 12
Now, let's evaluate this expression for different values of R to create a table. We will calculate the total number of tiles for R = 15, 20, 25, and 30.
For R = 15:
Total = 15 + 12 = 27
For R = 20:
Total = 20 + 12 = 32
For R = 25:
Total = 25 + 12 = 37
For R = 30:
Total = 30 + 12 = 42
Here is a table showing the total number of tiles if there are 15, 20, 25, or 30 red tiles:
| Number of Red Tiles (R) | Total Number of Tiles |
|------------------------|----------------------|
| 15 | 27 |
| 20 | 32 |
| 25 | 37 |
| 30 | 42 |
Assuming a single blue tile between red tiles, we have the following table, for a single row of red tiles:
R B
1 12
2 20
3 28
4 36
...
If the red tiles are laid out in a rectangular grid, then we have
R B
1 12
2 20
4 34
...
So, decide on the layout of the red squares before you make your table.