If area of a regular pentagon is \( \Large \Large 125\sqrt{3} \) units sq cm, how long is its each side

A) 10 cm

B) 15 cm

C) 16 cm

D) 25 cm

Correct answer:
A) 10 cm

Description for Correct answer:
We know that,

Area of regular pentagon = \( \Large 5a^{2}\frac{\sqrt{3}}{4} \)

According to the question,

\( \Large \frac{5a^{2}\sqrt{3}}{4}=125\sqrt{3} \)=> \( \Large a^{2}=\frac{125\sqrt{3}\times 4}{5\sqrt{3}} \)=100

a = 10 cm


Please provide the error details in above question