Question

Enter the missing values in the area model to find 2, left parenthesis, 6, u, plus, 10, right parenthesis2(6u+10)
2
12u
+10
Answer
Attempt 1 out of 2

According to the model above, 2, left parenthesis, 6, u, plus, 10, right parenthesis, equals2(6u+10)=

Answer 1

To find the missing values in the area model for the expression \(2(6u + 10)\), you can expand the expression by using the distributive property:

\[
2(6u + 10) = 2 \cdot 6u + 2 \cdot 10
\]

Calculating each part:

1. \(2 \cdot 6u = 12u\)
2. \(2 \cdot 10 = 20\)

Putting it all together gives:

\[
2(6u + 10) = 12u + 20
\]

So the complete expression is:

\[
12u + 20
\]

The area model shows that the inner parts break down the expression into \(12u\) and \(20\). Therefore, the missing value that should represent \(20\) in your model is:

**Answer:** \( 20 \)