Given a Regular Hexagon with area of 54 radical 3 m2 find the side lengths of the hexagon.

Answer 1

Area formula for regular hexagon: Area = 3√3 / 2 × s²

Given area: 54√3 m²

Step 1: Equate the given area to the formula 54√3 = 3√3 / 2 × s²

Step 2: Cancel out √3 from both sides 54 = 3 / 2 × s²

Step 3: Multiply both sides by 2/3 36 = s²

Step 4: Take the square root to find s s = √36 s = 6 m

So, the side length of the hexagon is 6 m.