Enter the missing values in the area model to find 4, left parenthesis, 8, t, plus, 2, right parenthesis4(8t+2)

Question

4
8t
+2
Answer
Attempt 1 out of 2

According to the model above, 4, left parenthesis, 8, t, plus, 2, right parenthesis, equals4(8t+2)=

Answer 1

To find the expression for \(4(8t + 2)\) using the area model, we can expand it as follows:

1. Distribute \(4\) to both parts inside the parentheses: \[ 4(8t + 2) = 4 \cdot 8t + 4 \cdot 2 \]

2. Calculate each term: \[ 4 \cdot 8t = 32t \] \[ 4 \cdot 2 = 8 \]

3. Combine both results: \[ 4(8t + 2) = 32t + 8 \]

So, the final expression is: \[ \boxed{32t + 8} \]