Question

(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

Answer 1

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


`A= (P* a)/(2)`

Using this, we have:


`A= (P* a)/(2) \\ 484= ((10n)* 12.1 )/(2) \\ \boxed {n=8}`