Question

The formula P = ns gives the formula for the perimeter of a regular polygon with n sides and side length s.

What is the length of each side of a regular octagon with a perimeter of 54.4 cm? A regular octagon has 8 equal sides.

Answer 1

Well plug in the info :)

\(\rm \color{#20bd23}{P~=~ns}\)

p = perimeter = 54.4
n = number of sides = 8
s = side length = unknown

\(\rm \color{#20bd23}{54.4~=~8s}\)

To solve this, all you need to do is divide 8 on both sides of the equation.

\(\rm \color{#20bd23}{\dfrac{54.4}{8}~=\dfrac{8s}{8}}\)

\(\rm \color{#20bd23}{\dfrac{54.4}{8}~=~s}\)

Answer 2

So what is \(\color{#20bd23}{54.4\div 8}\)?

Answer 3

6.8