Question

isabelle has a five - sided chicken coop in her yard. each side has an equal length. what is the total perimeter of the chicken coop if the length of one side is 3√5 yards? recall that the perimeter is the sum of all sides of a shape or boundary. 8√5 yards 15√5 yards 8√25 yards 15√25 yards

Explanation:

Step1: Recall perimeter formula

The perimeter \(P\) of a regular polygon is \(P = ns\), where \(n\) is the number of sides and \(s\) is the length of one - side.

Step2: Identify values of \(n\) and \(s\)

Here, \(n = 5\) (five - sided polygon) and \(s=3\sqrt{5}\) yards.

Step3: Calculate the perimeter

\(P=ns = 5\times3\sqrt{5}=15\sqrt{5}\) yards.

Answer:

\(15\sqrt{5}\) yards