![]() To find the perimeter of a regular polygon, multiply the number of sides by the length of one side.Įxercises Directions: Read each question below. The formula for perimeter of a rectangle is. Summary: To find the perimeter of a polygon, take the sum of the length of each side. A regular hexagon has 6 sides, so we can divide the perimeter by 6 to get the length of one side (S). Thus we get:Įxample 5: Find the perimeter of a regular pentagon with each side measuring 3 inches.Įxample 6: The perimeter of a regular hexagon is 18 centimeters. Solution: This regular polygon has 3 sides, each with a length of 4 centimeters. Thus we get:Įxample 4: Find the perimeter of an equilateral triangle with each side measuring 4 centimeters. Solution: This regular polygon has 4 sides, each with a length of 2 inches. Let's revisit Examples 3 and 4 using this second method.Įxample 3: Find the perimeter of a square with each side measuring 2 inches. Another method for finding the perimeter of a regular polygon is to multiply the number of sides by the length of one side. Solution: = 2 in + 2 in + 2 in + 2 in = 8 inĮxample 4: Find the perimeter of an equilateral triangle with each side measuring 4 centimeters.Ī square and an equilateral triangle are both examples of regular polygons. In the next few examples, we will find the perimeter of other polygons.Įxample 3: Find the perimeter of a square with each side measuring 2 inches. Where is the perimeter, is the length and is the width. In fact, in mathematics, we commonly use the following formula for perimeter of a rectangle: In Example 2, the second solution is more commonly used. Solution 1: P = 8 cm + 8cm + 3 cm + 3 cm = 22 cm Solution: P = 5 cm + 9 cm + 11 cm = 25 cmĮxample 2: A rectangle has a length of 8 centimeters and a width of 3 centimeters. Thus, we use smaller units in our examples, such as centimeters and inches.Įxample 1: Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters and 11 centimeters. To find the perimeter of a polygon, take the sum of the length of each side. The polygons below are much smaller than a fenced-in yard. The perimeter of this yard is the distance around the outside of the yard, indicated by the red arrow It is measured in linear units such as feet or meters. The amount of fence needed to enclose the backyard (perimeter) is 1-dimensional. The yard is 2-dimensional: it has a length and a width. To help us make this distinction, look at our picture of a rectangular backyard. A polygon is 2-dimensional however, perimeter is 1-dimensional and is measured in linear units. The perimeter of a polygon is the distance around the outside of the polygon. How to Find Perimeter of Triangles, Perimeter of Rectangles, and Other Polygons With Examples And Interactive Exercises
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