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?

First, we need to know the area of one triangle of that polygon.

We have apothem 12.1 cm

Length of one side is 10cm

Area = bh/2

Area = 10*12.1 / 2

Area = 60.5 cm^2

Let us get the number of polygons by

= 484 / 60.5

= 8

So the polygon has 8 sides.