Question

A regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area

Answer 1

a = 120 cm²

Explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²