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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
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