plot Math assist » Geometry » airplane Geometry » Pentagons » how to discover the perimeter of a pentagon

One next of a continuous pentagon is

*
. Find the perimeter the the pentagon. 


*


*


*


*


Explanation:

In a continuous pentagon, every one of the sides room the exact same length.

You are watching: What is the perimeter of a pentagon

The perimeter deserve to then be uncovered by summing every

*
 sides or multiplying
*
 by
*

*


Explanation:

The an essential word in this inquiry is "regular." because the pentagon is regular, every one of its sides space equal. This method that it, in fact, watch like:

*

The perimeter for this is simply 

*
 or 
*
.


Explanation:

Because we"re called the pentagon is a continual polygon, this means that every one of its sides space the very same length. The is, the next lengths space congruent.

In bespeak to settle for the perimeter, i m sorry is the amount of all sides, we deserve to use a multiplication shortcut of:

*
, where
*
 is perimeter,
*
 is length of the sides, and also
*
 is the number of sides the the polygon. 

Using the information given in the problem, the values have the right to be substituted in.

*

*

Note that this math is the same as adding

*
 five times:

*


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