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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