Question

Find the area of a regular octagon with apothem K and side of 10.

Answer 1

Answer: 40K

Step-by-step explanation:

We know that the area of a regular polygon is given by :-

$A=\frac{1}{2}*Apothem*Perimeter$

Given: The side of regular octagon = 10

Then, the perimeter of the regular octagon =$8(side)=8(10)=80$

Now, the area of given regular octagon is given by :-

$A=\frac{1}{2}\timesK\times80\\\Rightarrow\ A=40K$

Answer 2

The answer is indeed 40 K.