The area of a regular hexagon is 2048 sqrt3 cm². What is…

The area of a regular hexagon is 2048 $\sqrt3$ cm². What is the length (in cm) of each side of the hexagon?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. $64\sqrt3\over3$ .

Area of a regular hexagon = $3\sqrt3 \over2$ a²

here, a = side

⇒ $3\sqrt3 \over2$ a² = 2048 $\sqrt3$

⇒ a² = $4096\over3$

⇒ a = $64\over \sqrt3$ = $64\sqrt3\over3$

SSC MTS 2024 PYQ — Question 8