# TSI Math: Finding the Area of a Regular Polygon

A regular polygon has apothem lengths of 9, side lengths of 3, and 12 sides. What is the area for this shape?

Geometry and Measurement | Measurement (Linear, Area, Three-Dimensional) |

Mathematics and Statistics Assessment | Measurement (Linear, Area, Three-Dimensional) |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Geometry and Measurement |

TSI Mathematics | Geometry and Measurement |

Test Prep | TSI |

### Transcript

to break the mold In fact regular polygons give the

side eye to anything that's not regular Lucky for us

we're working with a regular polygon because it means that

we confined the area using our trusty area of a

regular polygon formula And of course our brilliant brains So

let's see the formula for the area of a regular

polygon is a equals one half and s are where

n is the number of sides ass equals the side

length and our equals the possum length Well we've been

given the values of all these variables Eso all we

have to do is substitute them into the formula do

some math and and high five each other Yeah So

let's All right so we got a equals one half

and sa and that's one half times twelve times through

unit times nine units and altogether gets us one hundred

sixty two square units And easy spot for error is

forgetting to divide by half here like a did or

casually multiplying by two instead of dividing by it like

you see But anyway that's it The answer is b 00:01:18.718 --> [endTime] one sixty two square units and we are sure