**Educational Exercise on Geometry****Figure Overview:**The provided shape is a composite figure consisting of a small square joined with a larger square. There’s a shaded part in the upper right corner of the larger square forming an L-shape when combined.**Steps:****3.5** Write an expression representing the area of the shaded part. ______________________________________________________**3.6** Extend a line from the top of the small square (length $ b $) to the right, going up until it meets the side of the original square. There should now be a rectangle formed adjacent to the smaller square.**3.7** What is the rectangle’s length and breadth, in step 3.6, in terms of $ a $ and $ b $? - **Length:** ________________________________________ - **Breadth:** _______________________________________**3.8** Cut out the small square and set it aside. (Use diagram sheet.)**3.9** Cut out the rectangle, lay and stick it alongside the leftover part to form a larger rectangle. Ensure that two sides of the same length are next to each other (the rectangle will need to turn).**3.10** What is the **new** rectangle's length and breadth in terms of $ a $ and $ b $? - **Length:** ________________________________________ - **Breadth:** _______________________________________**Diagram Explanation:**The given figure depicts a geometric shape where a small square of side $ b $ is shaded and part of a large square of side $ a $. By following the instructions, you will manipulate this shape to investigate areas and rearrange components to form new figures.Follow the instructions step-by-step to explore these geometric transformations.

Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Answered: Hint: 3.5 Write an expression…

Math

Algebra

Hint: 3.5 Write an expression representing the area of the shaded part.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Educational Exercise on Geometry**

**Figure Overview:**
The provided shape is a composite figure consisting of a small square joined with a larger square. There’s a shaded part in the upper right corner of the larger square forming an L-shape when combined.

**Steps:**

**3.5** Write an expression representing the area of the shaded part.
______________________________________________________

**3.6** Extend a line from the top of the small square (length $ b $) to the right, going up until it meets the side of the original square. There should now be a rectangle formed adjacent to the smaller square.

**3.7** What is the rectangle’s length and breadth, in step 3.6, in terms of $ a $ and $ b $?
- **Length:** ________________________________________
- **Breadth:** _______________________________________

**3.8** Cut out the small square and set it aside. (Use diagram sheet.)

**3.9** Cut out the rectangle, lay and stick it alongside the leftover part to form a larger rectangle. Ensure that two sides of the same length are next to each other (the rectangle will need to turn).

**3.10** What is the **new** rectangle's length and breadth in terms of $ a $ and $ b $?
- **Length:** ________________________________________
- **Breadth:** _______________________________________

**Diagram Explanation:**
The given figure depicts a geometric shape where a small square of side $ b $ is shaded and part of a large square of side $ a $. By following the instructions, you will manipulate this shape to investigate areas and rearrange components to form new figures.

Follow the instructions step-by-step to explore these geometric transformations.

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