Question

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

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.