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You said these expressions represent the tiles:

[tex]\[
\begin{tabular}{|l|l|l|}
\hline
[tex]$a$[/tex] & [tex]$a$[/tex] & [tex]$b$[/tex] \\
\hline
[tex]$a$[/tex] & [tex]$a$[/tex] & [tex]$b$[/tex] \\
\hline
\end{tabular}
\][/tex]

[tex]\[
\begin{array}{l}
8a + 4b \\
4(2a + b) \\
2(4a + b)
\end{array}
\][/tex]

Marco arranged the tiles in this way, and then wrote an expression based on his arrangement.

What expression do you think Marco might have written?

Sagot :

GinnyAnsweridn
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.
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