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Perimeter, Part II Unit 1 > Lesson 1 of 8


A square and an equilateral triangle are both examples of regular polygons. Another method for finding the perimeter of a regular polygon is to multiply the number of sides by the length of one side. Let's revisit Examples 3 and 4 using this second method.

Example 3: Find the perimeter of a square with each side measuring 2 inches. [IMAGE]
Solution: This regular polygon has 4 sides, each with a length of 2 inches. Thus we get:
  P = 4(2 in) = 8 in

Example 4: Find the perimeter of an equilateral triangle with each side measuring 4 centimeters. [IMAGE]
Solution: This regular polygon has 3 sides, each with a length of 4 centimeters. Thus we get:
  P = 3(4 cm) = 12 cm

Example 5: Find the perimeter of a regular pentagon with each side measuring 3 inches. [IMAGE]
Solution: P = 5(3 in) = 15 in

Example 6: The perimeter of a regular hexagon is 18 centimeters. How long is one side? [IMAGE]
Solution: P = 18 cm
  Let s represent the length of one side. A regular hexagon has 6 sides, so we can divide the perimeter by 6 to get the length of one side (s).
  s = 18 cm ÷ 6
  s = 3 cm

Summary: To find the perimeter of a polygon, take the sum of the length of each side. The formula for perimeter of a rectangle is: P = 2L + 2W. To find the perimeter of a regular polygon, multiply the number of sides by the length of one side.

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Last Modified 14 May 2012