Question

Use the area model to multiply 12(4+2f).
First, find the partial products.
4 2f
12
Row, rectangle. Width. Height. Find the total area.. Areacolumn, missing side length.123
Now, write the product.
12(4+2f)=

Answer 1

To use the area model to multiply \(12(4 + 2f)\), we can break this down using the distributive property.

### Step 1: Set up the area model

We can think of \(4 + 2f\) as two separate parts: \(4\) and \(2f\). This gives us two rectangles to work with.

### Step 2: Create the partial products

- The first rectangle will represent \(12 \times 4\).
- The second rectangle will represent \(12 \times 2f\).

#### Calculate each product:

1. **First rectangle:**
\[
12 \times 4 = 48
\]

2. **Second rectangle:**
\[
12 \times 2f = 24f
\]

### Step 3: Find the total area

Now we can combine the two areas (partial products):

\[
48 + 24f
\]

### Step 4: Write the final product

So, the final product of \(12(4 + 2f)\) is:
\[
12(4 + 2f) = 48 + 24f
\]