Question

A hexagonal field of side 30 m has to be used for playing cricket. Find its area.

• A. 387.74 m²
• B. 487.74 m²
• C. 587. 74 m²
• D. 667.6 m²

Answer 1

The correct option is B

487.74 m²

A hexagon contains six equilateral triangles, the length of the side of the triangle is equal to the length of the side of the hexagon.

a = 30 cm

Area of an equilateral triangle = $\frac{\sqrt{3}{a}^2}{4}$

$\therefore$ , Area of hexagon = $6\times \frac{\sqrt{3}{a}^2}{4}$

= $6\times \frac{\sqrt{3}\times 900}{4}$

= $6\times 225\sqrt{3}$

= $1350\sqrt{3}{m}^2$