Question

If the perimeter of a regular hexagon is 120 cm, Find its area.

• A. BDEF is a parallelogram
• B. Area of (DEF) = 1/ 4 Area of (ABC)
• C. Area of (BDEF) = 1 /2 Area of (ABC)
• D. All of these

Answer 1

The correct option is D

All of these

Perimeter of hexagon = 120 cm

Therefore measure of each side = $\frac{120}{6}=20cm$

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

= $\frac{3\times \sqrt{3}\times 20\times 20}{2}$

= $600\sqrt{3}c{m}^2$