The length of each side of the polygon is:
20 inches.
Regular polygon--
It is a polygon which has all the sides of equal length and all the angles of equal measure.
Also the perimeter of the regular polygon is given as the sum of all the sides of the regular polygon.
i.e. the formula for the perimeter is given by:
[tex]Perimeter=ns[/tex]
where n is the number of sides in a given polygon and s is the length of each sides of the polygon.
Here we have a polygon as a pentagon.
i.e.
[tex]n=5[/tex]
and Perimeter=100 inches
i.e.
[tex]100=5s\\\\i.e.\\\\s=\dfrac{100}{5}\\\\i.e.\\\\s=20\ inches[/tex]
The length of each side of the regular pentagon is 20 inches.
Given that :
Perimeter of regular pentagon = 100 inches
Number of sides in a pentagon = 5
Regular pentagon, means a 5-sided polygon with equal sides;
Hence, a regular pentagon has 5 equal sides ;
Perimeter of a pentagon = 5s ; where, s = side length
Perimeter of pentagon = 100 inches
Therefore, to obtain the length of each side
100 = 5s
Divide both sides by 5
100 / 5 = 5s / 5
20 = s
Hence, the length of each side of the pentagon is 20.
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