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\sqrt{5} yards? recall that the perimeter is the sum of all sides of a shape or boundary. 8\sqrt{5} yards 15\sqrt{5} yards 8\sqrt{25} yards 15\sqrt{25} yards

Explanation:

Step1: Identify number of sides

The chicken - coop is five - sided, so $n = 5$.

Step2: Identify side length

The length of one side is $s=3\sqrt{5}$ yards.

Step3: Calculate perimeter

The perimeter $P$ of a regular polygon is $P = n\times s$. Substitute $n = 5$ and $s = 3\sqrt{5}$ into the formula: $P=5\times3\sqrt{5}=15\sqrt{5}$ yards.

Answer:

B. $15\sqrt{5}$ yards