**Problem 2: Consider the trapezoid below.**- **Diagram:** - The diagram displays a trapezoid with height \( h \), and two bases with lengths \( a \) and \( b \).**Instructions:****(a)** Decompose this trapezoid into shapes that we know how to find the area of, i.e., triangles, rectangles, or parallelograms.**(b)** Use the decomposition you found above to express the area of the trapezoid in terms of \( a \), \( b \), and \( h \).**(c)** Make two copies of this parallelogram and put those two copies together in a way that creates a shape we know how to find the area of.**(d)** Use the shape you created above to express the area of the trapezoid in terms of \( a \), \( b \), and \( h \).**(e)** Are the formulas you found in part 2b and part 2d equivalent?**Graph/Diagram Explanation:**- The trapezoid is labeled with its bases \( a \) and \( b \), and height \( h \). You need to visualize decomposing and rearranging this trapezoid in multiple ways to calculate its area, helping reinforce the understanding of geometric properties and area calculations.

Answered: (a) Decompose this trapezoid into…

(a) Decompose this trapezoid into shapes that we know how to find the area of, i.e. triangles, rectangles, or parallelograms.

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

**Problem 2: Consider the trapezoid below.**

- **Diagram:**
- The diagram displays a trapezoid with height \( h \), and two bases with lengths \( a \) and \( b \).

**Instructions:**

**(a)** Decompose this trapezoid into shapes that we know how to find the area of, i.e., triangles, rectangles, or parallelograms.

**(b)** Use the decomposition you found above to express the area of the trapezoid in terms of \( a \), \( b \), and \( h \).

**(c)** Make two copies of this parallelogram and put those two copies together in a way that creates a shape we know how to find the area of.

**(d)** Use the shape you created above to express the area of the trapezoid in terms of \( a \), \( b \), and \( h \).

**(e)** Are the formulas you found in part 2b and part 2d equivalent?

**Graph/Diagram Explanation:**
- The trapezoid is labeled with its bases \( a \) and \( b \), and height \( h \). You need to visualize decomposing and rearranging this trapezoid in multiple ways to calculate its area, helping reinforce the understanding of geometric properties and area calculations.

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