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A) We showed how to find the area of a parallelogram using moving/additivity and shearing. Another way to find this formula is by breaking a parallelogram into two appropriate triangles (they have have the same base and height). Trace the parallelogram (or draw a new one) and show how to divide it into two triangles. Then, use the area of a triangle to get the formula for the area of the parallelogram. h b

A) We showed how to find the area of a parallelogram using moving/additivity and shearing. Another way to find this formula is by breaking a parallelogram into two appropriate triangles (they have have the same base and height). Trace the parallelogram (or draw a new one) and show how to divide it into two triangles. Then, use the area of a triangle to get the formula for the area of the parallelogram. h b

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**How to Find the Area of a Parallelogram Using Moving/Additivity and Shearing** A) We demonstrated how to find the area of a parallelogram using the concepts of moving/additivity and shearing. Another method to derive this formula involves breaking a parallelogram into two triangles with the same base and height. You can trace the parallelogram (or sketch a new one) and divide it into two triangles. Then, use the formula for the area of a triangle to find the area of the parallelogram. **Diagram Explanation:** The diagram illustrates a parallelogram divided into two right triangles. The height (h) is marked with a vertical line from the top vertex perpendicular to the base, while the base (b) is a horizontal line. By calculating the area of the triangles, you can determine the total area of the parallelogram.
Transcribed Image Text:**How to Find the Area of a Parallelogram Using Moving/Additivity and Shearing** A) We demonstrated how to find the area of a parallelogram using the concepts of moving/additivity and shearing. Another method to derive this formula involves breaking a parallelogram into two triangles with the same base and height. You can trace the parallelogram (or sketch a new one) and divide it into two triangles. Then, use the formula for the area of a triangle to find the area of the parallelogram. **Diagram Explanation:** The diagram illustrates a parallelogram divided into two right triangles. The height (h) is marked with a vertical line from the top vertex perpendicular to the base, while the base (b) is a horizontal line. By calculating the area of the triangles, you can determine the total area of the parallelogram.
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