Question

Pentacontagon is the name given to a polygon having 50 sides. What will be the measure of one side of a regular pentacontagon if its perimeter is 1250 cm?

• A. 20 cm
• B. 25 cm
• C. 30 cm
• D. 35 cm

Answer 1

The correct option is B

25 cm

We know that the perimeter of an n-sided regular polygon with each side measuring ‘$x$’ units is ‘$nx$’ units.

Hence, the perimeter of a regular pentacontagon with each side as ‘$x$’ cm will be ‘$50x$’ cm. According to question,

$50x=1250$

$x=\frac{1250}{50}$

$x=25cm$

So, the measure of one side $=25cm$