Question 82

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

Solution

Let side of regular hexagon = $$a$$ cm

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

=> $$\frac{3\sqrt{3}}{2} a^2=54\sqrt{3}$$

=> $$a^2=54 \times \frac{2}{3} = 36$$

=> $$a=\sqrt{36}=6$$ cm

=> Ans - (C)

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