https://file.aiquickdraw.com/mathbot/file/1728005074183wlx6zog1.jpg

The image you provided shows a visual representation of a multiplication problem using an area model. In this model:

- One side of the rectangle is divided into two parts: 40 and 5.
- The other side is divided into 70 and 6.

This suggests a breakdown of the expression \((40 + 5) \times (70 + 6)\), which can be computed using the distributive property as follows:

\[
(40 + 5) \times (70 + 6) = 40 \times 70 + 40 \times 6 + 5 \times 70 + 5 \times 6
\]

The correct expression represented by this model is \(45 \times 76\), because:

- \(40 + 5 = 45\)
- \(70 + 6 = 76\)

Thus, the correct answer is \(45 \times 76\).

Would you like further details or explanation? Here are some related questions for further exploration:

1. What is the value of \(45 \times 76\)?
2. How does the distributive property apply to area models?
3. How can you calculate \(40 \times 70 + 40 \times 6 + 5 \times 70 + 5 \times 6\) directly?
4. What is the significance of breaking numbers down in multiplication?
5. How can this method be extended to solve larger numbers?

**Tip**: Using the distributive property helps break complex multiplication into simpler steps, especially when working with larger numbers.

Understand how the area model represents the expression (40 + 5) * (70 + 6), breaking down multiplication into simpler steps using the distributive property. Suitable for students in Grades 4-6.

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