Question

What is the area of a regular octagon having an apothem of 6 meters and a side length of 5 meters?

o 15 m2
240 m2
O 120 m2
480 m2

Answer 1

area of a regular octagon having an apothem of 6 meters and a side length of 5 meters is
`120m^2` . Correct option C) .

Explanation:

Here we have , to find What is the area of a regular octagon having an apothem of 6 meters and a side length of 5 meters . Let's find out:

We know that area of octagon is :

⇒
`Area = (pa)/(2)` , where p is perimeter & a is apothem !

Perimeter p = 8(side) =8(5) = 40 m

Apothegm a = 6 m

So ,

⇒
`Area = (40(6))/(2)`

⇒
`Area = (240)/(2)`

⇒
`Area =120m^2`

Therefore , area of a regular octagon having an apothem of 6 meters and a side length of 5 meters is
`120m^2` . Correct option C) .

Answer 2

Answer:120 meter square

Explanation:

Given:

Side (a) = 5 m

Apothem = 6 m

Perimeter of a regular octagon = 8 x a

= 8 x 5

= 40 m

Area = perimeter x apothem/2

= 40 x 6/3

= 120 meter square