## How to Find the Perimeter of Polygons

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### Way to Determine the Perimeter of a Polygon

A perimeter is described as the **sum** of the length of each side. For instance, in a quadrilateral whose sides are \(9, \ 7, \ 5\) and \(11\), the perimeter is provided by: Perimeter \(= \ 9 \ + \ 7 \ + \ 5 \ + \ 11 \ = \ 32\)

With a **Regular** polygon, whose sides are all of the **equal** length, its perimeter is described as,

**Perimeter** \(= \ n \times s\) Units

- where \(n \ = \ number \ of \ sides \ of \ a \ polygon\),
- and \(s \ =\) length of a side

### Perimeter of Regular Polygons

Names of Regular Polygon |
Perimeter of Regular Polygon |

Equilateral Triangle | \(3 \times\) (length of \(1\) side) |

Square | \(4 \times\) (length of \(1\) side) |

Regular Pentagon | \(5 \times\) (length of \(1\) side) |

Regular Hexagon | \(6 \times\) (length of \(1\) side) |

### Exercises for the Perimeter of Polygons

**1) **What is the perimeter of the following regular hexagon?

**2) **What is the perimeter of the following regular pentagon?

**3) **What is the perimeter of the following square?

**4) **What is the perimeter of the following shape?

**5) **What is the perimeter of the following shape?

**6) **What is the perimeter of the following equilateral triangle?

**7) **What is the perimeter of the following rectangle?

**8) **What is the perimeter of the following shape?

**9) **What is the perimeter of the following square?

**10) ** What is the perimeter of the following regular hexagon?