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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![### Find the area of the shape shown below.
In this diagram, we are given a composite shape highlighted in purple. The shape consists of a combination of a rectangle and right-angled triangles. Specific dimensions are provided on parts of the shape:
- The left side of the shape is labeled as 3.5 units.
- The bottom side of the rectangular section within the shape has a length of 2 units.
- The height of the rectangular section is 2 units.
- There are additional right-angled triangles attached to the top and bottom of this rectangle, each contributing dimensions for calculation:
- The triangles on both left and right sides of the rectangle have a height of 2 units and a base extension of 2 units.
- The top side of the shape extending from the top right to the left side is 5 units long.
Below the diagram, there is an input box for entering the calculated area of the shape in square units (units²).
**Input Box:**
- [______] units²
**Hint:**
- If you need help solving this problem, you can watch an explanatory video or use a provided hint via the links.
**Additional options:**
- Report a problem link, and a check button to verify your answer.
> Stuck? [Watch a video or use a hint.](#)
**Navigation:**
- This question is listed as 4 of 4 in a series with a progress indicator showing partial completion (indicated by green dots).
**Submit:**
- Gain final confirmation of your solution by clicking on the “Check” button.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F201a92e3-0587-4547-a658-15a88448da1e%2Fcc457e91-3a68-41c0-a40e-a2dfadff5790%2Fccbksk.jpeg&w=3840&q=75)
Transcribed Image Text:### Find the area of the shape shown below.
In this diagram, we are given a composite shape highlighted in purple. The shape consists of a combination of a rectangle and right-angled triangles. Specific dimensions are provided on parts of the shape:
- The left side of the shape is labeled as 3.5 units.
- The bottom side of the rectangular section within the shape has a length of 2 units.
- The height of the rectangular section is 2 units.
- There are additional right-angled triangles attached to the top and bottom of this rectangle, each contributing dimensions for calculation:
- The triangles on both left and right sides of the rectangle have a height of 2 units and a base extension of 2 units.
- The top side of the shape extending from the top right to the left side is 5 units long.
Below the diagram, there is an input box for entering the calculated area of the shape in square units (units²).
**Input Box:**
- [______] units²
**Hint:**
- If you need help solving this problem, you can watch an explanatory video or use a provided hint via the links.
**Additional options:**
- Report a problem link, and a check button to verify your answer.
> Stuck? [Watch a video or use a hint.](#)
**Navigation:**
- This question is listed as 4 of 4 in a series with a progress indicator showing partial completion (indicated by green dots).
**Submit:**
- Gain final confirmation of your solution by clicking on the “Check” button.
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