Answer:
Perimeter = 32m
Area = 76.8m²
Step-by-step explanation:
Question:
On a farm they want to put an octagonal fence to keep the geese at night. They have already placed two of the sides and used 8 meters of fence. If we know that the apothem is 4.8 meters, what will be its perimeter? And your area?
Octagonal polygon is a polygon with 8sides.
Two sides of fence = 8m
One side of fence = 8/2 = 4m
Each sides = 4m
Apothem = 4.8m
Let's look at the steps that will enable us solve this question.
The area of a regular polygon is calculated as:
Area = ½ap
where a = the apothem of the polygon
p= the perimeter of the polygon.
Apothem is the distance between the centre of the polygon and the base of the polygon.
The perimeter (p) = The sum of all sides of the octagon
p = (4 + 4 + 4 + 4 + 4 + 4+ 4+ 4 )
p = 4(8)
perimeter (p) = 32m
Area = ½ ×a ×p = ½ × 4.8m × 32
Area = 153.6/2
Area = 76.8m²
