If the area of a regular pentagon is 3920 √(3) cm², then how long is its each side ?

SSC Selection Post 2024 PYQ — Question 58

If the area of a regular pentagon is 3920 ${\sqrt{3}}$ cm², then how long is its each side ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 56 cm.

Area of regular pentagon = (5√3/4) × a²

Given: (5√3/4) × a² = 3920√3

a² = (3920 × 4)/5 = 3136

a = √3136 = 56