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Q.

A side of a regular polygon is 3.5 cm in length. The perimeter of the polygon is 17.5 cm. How many sides does the polygon have ?


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a

8

b

6

c

5

d

3

answer is C.

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Detailed Solution

Concept- Because the length of a regular polygon = 3.5 cm. Perimeter of  polygon = 17.5 cm. This is because we know that the perimeter is the sum of all the sides of the polygon. Therefore, to get the number of edges of a given polygon, you need to divide the perimeter by the specified edges.
With this in mind, polygons are regular polygons. Therefore, the length of each side of the polygon is 3.5 cm. You can also see that the perimeter of the polygon is the sum of all  sides.  Therefore, if the side is a regular polygon with a,
Question ImageseoThus, n = 5 Therefore, a regular polygon has five sides.
Hence, the correct answer is option (3).
 
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