Question

If the perimeter of a regular hexagon is 60 cm, Find its area.

• A. $100\sqrt{3}c{m}^2$
• B. $150\sqrt{3}c{m}^2$
• C. $120\sqrt{3}c{m}^2$
• D. $160\sqrt{3}c{m}^2$

Answer 1

The correct option is B

$150\sqrt{3}c{m}^2$

Perimeter of hexagon = 60 cm

Therefore measure of each side = $\frac{60}{6}=10cm$

Area of a hexagon = $\frac{3\times \sqrt{3}\times a^2}{2}$

= $\frac{3\times \sqrt{3}\times 10\times 10}{2}$

= $150\sqrt{3}c{m}^2$