2017 · Q79
The area of a regular hexagon of side ‘a’ is equal to
Elementary MathematicsQuadrilaterals and Polygons
- A(√(2))/3 a² square units
- B(3√(3))/2 a² square units
- C1/3 a² square units
- D(√(3))/2 a² square units
Explanation
This is the standard hexagon decomposition. A regular hexagon splits into 6 equilateral triangles of side a drawn from the centre. Each has area (√3/4)a², so the total is 6 × (√3/4)a² = (3√3/2)a². Option (d) (√3/2)a² is the trap — that is the area of just 2 of the 6 triangles. Hence option (b).