If area of a regular pentagon is \( \Large \Large 125\sqrt{3} \) units sq cm, how long is its each side
Correct Answer: 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
Part of solved Area and perimeter questions and answers :
>> Elementary Mathematics >> Area and perimeter