The length of each side of a regular polygon is 1.3 cm . The perimeter is 10.4 cm . How many sides does the polygon have?

Given:The length of each side of a regular polygon is 1.3 cm .

The perimeter is 10.4 cm

To do:  Find How many sides does the polygon have.

Solution:

The perimeter of a regular polygon

P = $n \times s$ where n is the number of sides of the polygon and s is the length of each side.

Given s = 1.3 cm; P = 10.4 cm

So the number of sides of the polygon, n = $\frac{P}{s} = \frac{104}{1.3} = 8$

So, the required regular polygon has 8 sides and is therefore an octagon. 

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Updated on: 10-Oct-2022

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