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Quantitative Aptitude

Area Based Approach

Divide a regu...

Question

Divide a regular hexagon of six equal parts to from equilateral triangle. Hence find the area of the hexagon in term of its side.

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Solution

Area of equilateral triangle $= \frac{\sqrt{3}}{4} a^{2}$
Area of hexogon
$\begin{matrix} = 6 \times a r e a o f e q u i l a t e r a l Δ = 6 \times \frac{\sqrt{3}}{4} a^{2} = \frac{3 \sqrt{3}}{2} a^{2}, a = s i d e o f Δ \end{matrix}$

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