Question

Find the perimeter and area of the regular polygon. Round answers to the nearest tenth.

Answer 1

Answer: perimeter = 26.5

Area = 106

Step-by-step explanation:

The given polygon is an octagon. The apotherm which is the perpendicular line from the midpoint of the octagon is 8,

The formula for determining the area of a polygon is expressed as

Area = a² × n × tan 180/n

Where n represents the number of sides of the polygon.

n = 8

Therefore,

Area = 8² × 4 × tan(180/8)

Area = 256 × tan 22.5

Area = 106

The formula for determining the perimeter of a regular polygon is

P = 2 × area/apotherm

Perimeter = 2 × 106/8

Perimeter = 26.5