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Choose the three rectangles that have a perimeter of 18 centimeters

Choose the three rectangles that have a perimeter of 18 centimeters

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.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 13CR
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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} =
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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