Question

First, find the partial products.
6p q 4r
12
Row, rectangle. Width. Height. Find the total area.. Areacolumn, missing side length.1234
Now, write the product.
12(6p+q+4r)=

Answer 1

To evaluate the expression and find the product, we will first find the total area represented by the expression \(12(6p + q + 4r)\).

### Step 1: Understand the Expression
The expression \(12(6p + q + 4r)\) represents the area of a rectangle where:
- The width is \(12\)
- The height is the sum of the three terms: \(6p\), \(q\), and \(4r\).

### Step 2: Calculate the Total Area
To find the total area, we can distribute \(12\) across the sum in the parentheses:

\[
12(6p + q + 4r) = 12 \cdot 6p + 12 \cdot q + 12 \cdot 4r
\]

Now calculate each term:

\[
12 \cdot 6p = 72p
\]
\[
12 \cdot q = 12q
\]
\[
12 \cdot 4r = 48r
\]

### Step 3: Combine the Results
Now, combine all the results to write the final product:

\[
12(6p + q + 4r) = 72p + 12q + 48r
\]

### Conclusion
The final product is:

\[
\boxed{72p + 12q + 48r}
\]