if area of a regular hexagon is 6√3 sq.cm, then its perimeter is answer fast plss
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Step-by-step explanation:
Here the given area of a regular hexagon is 243–√243sq.cm. We have to find its side.
We know that the formula for the area of hexagon is given as-
⇒⇒ Area of hexagon=33–√2×a2332×a2 where a is the length of the side.
On putting given values in the formula we get,
⇒243–√=33–√2×a2⇒243=332×a2
On simplifying we get,
⇒24=32×a2⇒24=32×a2
On finding the value of ‘a’ we get,
⇒a2=24×23⇒a2=24×23
On solving further we get,
⇒a2=8×2=16⇒a2=8×2=16
On removing square from ‘a’ we get,
⇒a=16−−√=4⇒a=16=4
Hence, the length of each side of a regular hexagon having area 243
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