What is the perimeter, in units, of a regular 11-sided polygon with sides of length .36363636… units?

I don't know how to find the answer to this problem. Please use words that a 7th grader can understand. Thanks!

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- Sep 23rd 2013, 09:56 PMNadeshikoPolygon
What is the perimeter, in units, of a regular 11-sided polygon with sides of length .36363636… units?

I don't know how to find the answer to this problem. Please use words that a 7th grader can understand. Thanks! - Sep 23rd 2013, 10:35 PMvotanRe: Polygon
The perimeter is the sum of all the sides of a figure. For instance, the perimeter of a triangle is the sum of the lengths of the three sides. the perimeter of a rectangle is the sum of the length of the four sides. Can you now find the perimeter of your polygon.

- Sep 24th 2013, 04:40 AMProve ItRe: Polygon
First of all, it would help if you wrote the length of each side as a fraction, as they are exact.

$\displaystyle \displaystyle \begin{align*} x &= 0.363636\dots \\ 100x &= 36.363636\dots \\ 100x - x &= 36.363636\dots - 0.363636\dots \\ 99x &= 36 \\ x &= \frac{36}{99} \\ x &= \frac{4}{11} \end{align*}$

So that means each side is $\displaystyle \displaystyle \begin{align*} \frac{4}{11} \end{align*}$ of a unit in length, and since there are 11 sides, the perimeter is $\displaystyle \displaystyle \begin{align*} 11 \times \frac{4}{11} = 4 \end{align*}$ units. - Sep 24th 2013, 07:48 PMNadeshikoRe: Polygon