7.8.1 Area Diagrams

Algebra 17.8.1 Area Diagrams

7.8.1 Area Diagrams

7.8.1 • Area Diagrams

Warm Up

Explain why the diagram shows that $6 (3 + 4) = 6 \cdot 3 + 6 \cdot 4$ .

Compare your answer:

The entire diagram represents the product $6 (3 + 4)$ . The upper half represents $6 \cdot 3$ while the lower half represents $6 \cdot 4$ .

Draw a diagram to show that $5 (x + 2) = 5 x + 10$ .

Compare your answer:

Diagrams will vary, but should show a large rectangle with two sub-rectangles, with one sub-rectangle representing $5 \cdot x$ , and the other representing $5 \cdot 2$ . For example:

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
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- Book title: Algebra 1
- Publication date: Jun 4, 2025
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- Section URL: https://openstax.org/books/algebra-1/pages/7-8-1-area-diagrams

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