A regular hexagon has side length 4+\sqrt{3} cm. The area of a regular hexagon of side a is \frac{3\sqrt{3}}{2}a^2. Find its area in the form p\sqrt{3}+q cm^2, where p and q are integers.

AM-1515

Surds and rationalising

A Math · Secondary 4 · Medium · Surds and rationalising

A regular hexagon has side length

4+\sqrt{3}

cm. The area of a regular hexagon of side

a

\frac{3\sqrt{3}}{2}a^2

. Find its area in the form

p\sqrt{3}+q

^2

, where

p

and

q

are integers.

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