action Math help » Geometry » plane Geometry » Pentagons » exactly how to uncover the perimeter of a pentagon

One side of a constant pentagon is

*
. Discover the perimeter that the pentagon. 


*


*


*


*


Explanation:

In a constant pentagon, all of the sides are the exact same length.

You are watching: The perimeter of a regular pentagon

The perimeter have the right to then be uncovered by summing all

*
 sides or multiplying
*
 by
*

*


Explanation:

The an essential word in this inquiry is "regular." since the pentagon is regular, all of its sides room equal. This way that it, in fact, looks like:

*

The perimeter for this is simply 

*
 or 
*
.


Explanation:

Because we"re said the pentagon is a regular polygon, this way that every one of its sides are the exact same length. That is, the side lengths space congruent.

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In stimulate to fix for the perimeter, i beg your pardon is the amount of every sides, we have the right to use a multiplication shortcut of:

*
, wherein
*
 is perimeter,
*
 is size of the sides, and also
*
 is the number of sides that the polygon. 

Using the information given in the problem, the values can be substituted in.

*

*

Note the this mathematics is the very same as adding

*
 five times:

*


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