1 Answer

Agabrys · Answer 1 · 2023-01-10T14:40:02+0000

Given the apothem, we can calculated the length of the side as:

$a=(s)/(2\tan ((180)/(5)))$

Where:

s = Length of the side

a = Apothem

Solve for s:

$\begin{gathered} s=2a\tan (36) \\ s=2(5)\tan (36) \\ s=7.2654 \end{gathered}$

Therefore, the perimeter is:

$\begin{gathered} P=5\cdot s \\ P=5\cdot(7.2654) \\ P=36.3\operatorname{cm} \end{gathered}$

Answer:

36.3 cm

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