(10 points)

A certain regular polygon has sides of length 10 cm; its apothem is 12.1 cm. The polygon’s area is 484 cm². How many sides does the polygon have

Respuesta :

There is a mathematical formula which relates these quantities, given by:

[tex]A= \frac{P\times a}{2}[/tex]

Using this, we have:

[tex]A= \frac{P\times a}{2} \\ 484= \frac{(10n)\times 12.1 }{2} \\ \boxed {n=8}[/tex]