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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Question
Choose the three rectangles that have a perimeter of 18 centimeters
![**Educational Content for Website: Rectangle Perimeters**
---
**Task:** Choose the three rectangles that have a perimeter of 18 centimeters.
**Rectangles:**
**A.**
- Width: 2 cm
- Height: 9 cm
**B.**
- Width: 6 cm
- Height: 3 cm
**C.**
- Width: 5 cm
- Height: 4 cm
**D.**
- Width: 10 cm
- Height: 8 cm
**E.**
- Width: 2 cm
- Height: 7 cm
---
**Analysis:**
1. **Rectangle A:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (2\, \text{cm} + 9\, \text{cm}) = 2 \times 11\, \text{cm} = 22\, \text{cm}
\]
2. **Rectangle B:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (6\, \text{cm} + 3\, \text{cm}) = 2 \times 9\, \text{cm} = 18\, \text{cm}
\]
3. **Rectangle C:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (5\, \text{cm} + 4\, \text{cm}) = 2 \times 9\, \text{cm} = 18\, \text{cm}
\]
4. **Rectangle D:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (10\, \text{cm} + 8\, \text{cm}) = 2 \times 18\, \text{cm} = 36\, \text{cm}
\]
5. **Rectangle E:**
- Perimeter Calculation:
\[
\text{Perimeter} =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5017972a-6742-4a47-8bcc-bbfaf28da675%2Feb1b4ac5-8eae-458b-b839-941c35f0d7d1%2Ft3lkkgz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content for Website: Rectangle Perimeters**
---
**Task:** Choose the three rectangles that have a perimeter of 18 centimeters.
**Rectangles:**
**A.**
- Width: 2 cm
- Height: 9 cm
**B.**
- Width: 6 cm
- Height: 3 cm
**C.**
- Width: 5 cm
- Height: 4 cm
**D.**
- Width: 10 cm
- Height: 8 cm
**E.**
- Width: 2 cm
- Height: 7 cm
---
**Analysis:**
1. **Rectangle A:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (2\, \text{cm} + 9\, \text{cm}) = 2 \times 11\, \text{cm} = 22\, \text{cm}
\]
2. **Rectangle B:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (6\, \text{cm} + 3\, \text{cm}) = 2 \times 9\, \text{cm} = 18\, \text{cm}
\]
3. **Rectangle C:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (5\, \text{cm} + 4\, \text{cm}) = 2 \times 9\, \text{cm} = 18\, \text{cm}
\]
4. **Rectangle D:**
- Perimeter Calculation:
\[
\text{Perimeter} = 2 \times (\text{Width} + \text{Height}) = 2 \times (10\, \text{cm} + 8\, \text{cm}) = 2 \times 18\, \text{cm} = 36\, \text{cm}
\]
5. **Rectangle E:**
- Perimeter Calculation:
\[
\text{Perimeter} =
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