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

Question

this is a question I need help with having trouble

Answer 1

Hi Jordan,

 

To find the area of a regular octagon with apothem K and a side of 10, let's use a formula that specifically takes care of our issue:

 

A = (P*a)/2 where P is the perimeter of the octagon and a is the apothem. Since an octagon has 8 sides, and our side length is 10, we can simply plug in the values to where they need to go.

 

So, (10*k)/2 = 5k. But now, multiply this result by the number of sides an octagon has which results in the final answer being 40k.

 

Thus, 40k is your answer.