1) Perimeter of a regular 12-sided polygon =24 inches.
2) Perimeter of a regular 9-sided polygon =45 feet.
3) length of the side of a regular hexagon = 2.1 cm
4) length of the side of a regular 8-sided polygon = 6.5 feet
5) length of the side of a regular 12-sided polygon = 10 feet
Step-by-step explanation:
1) Given,
- length of the side, a = 2 inches.
- Perimeter of a regular 12-sided polygon = 12a
Perimeter = 12(2) = 24 inches.
Option c) 24 in. is the correct answer.
2) Given,
- length of the side, a = 5 feet
- Perimeter of a regular 9-sided polygon = 9a
Perimeter = 9(5) = 45 feet.
Option a) 45 ft. is the correct answer.
3) Given,
- Perimeter of a regular 6-sided polygon = 6a
- Perimeter = 12.6 cm
⇒ 6a = 12.6
⇒ a = 12.6
⇒ length of the side, a = 2.1 cm
Option c) 2.1 cm is the correct answer.
4) Given,
- Perimeter of a regular 8-sided polygon = 8a
- Perimeter = 52 feet
⇒ 8a = 52
⇒ a = 52/8
⇒ length of the side, a = 6.5 feet
Option a) 6.5 ft is the correct answer.
5) Given,
- Perimeter of a regular 12-sided polygon = 12a
- Perimeter = 120 feet
⇒ 12a = 120
⇒ a = 120/12
⇒ length of the side, a = 10 feet
Option a) 10 ft is the correct answer.
