Question

en una granja quieren poner una cerca con forma octogonal para guardar las ocas por las noches.Ya han colocado dos de los lados y han utilizado 8 metros de valla.Si sabemos que el apotema es 4,8 metros,¿cuql sera su perimetro?¿Y su area?

Answer 1

Perimeter = 32m

Area = 76.8m²

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