Answer :
Sure, let's analyze Marco's arrangement of tiles and determine the expression he might have written.
Given the tile arrangement:
[tex]\[ \begin{tabular}{|l|l|l|} \hline a & a & b \\ \hline a & a & b \\ \hline \end{tabular} \][/tex]
First, let's count the number of each type of tile.
1. Counting the `a` tiles:
- Observe that each row has 2 `a` tiles.
- Since there are 2 rows, the total number of `a` tiles is:
[tex]\[ 2 \text{ (per row)} \times 2 \text{ (rows)} = 4 \text{ tiles} \][/tex]
2. Counting the `b` tiles:
- Observe that each row has 1 `b` tile.
- Since there are 2 rows, the total number of `b` tiles is:
[tex]\[ 1 \text{ (per row)} \times 2 \text{ (rows)} = 2 \text{ tiles} \][/tex]
Now that we know the counts, we can write the corresponding expression that Marco might have written based on his arrangement:
[tex]\[ 4a + 2b \][/tex]
So, the expression Marco might have written is:
[tex]\[ 4a + 2b \][/tex]
This expression accurately represents the distribution and quantity of the tiles in Marco's arrangement.
Given the tile arrangement:
[tex]\[ \begin{tabular}{|l|l|l|} \hline a & a & b \\ \hline a & a & b \\ \hline \end{tabular} \][/tex]
First, let's count the number of each type of tile.
1. Counting the `a` tiles:
- Observe that each row has 2 `a` tiles.
- Since there are 2 rows, the total number of `a` tiles is:
[tex]\[ 2 \text{ (per row)} \times 2 \text{ (rows)} = 4 \text{ tiles} \][/tex]
2. Counting the `b` tiles:
- Observe that each row has 1 `b` tile.
- Since there are 2 rows, the total number of `b` tiles is:
[tex]\[ 1 \text{ (per row)} \times 2 \text{ (rows)} = 2 \text{ tiles} \][/tex]
Now that we know the counts, we can write the corresponding expression that Marco might have written based on his arrangement:
[tex]\[ 4a + 2b \][/tex]
So, the expression Marco might have written is:
[tex]\[ 4a + 2b \][/tex]
This expression accurately represents the distribution and quantity of the tiles in Marco's arrangement.
